Equivalent simulation circuit of six-wing Chua's junction type local active memristor

Abstract

The invention discloses an equivalent analog circuit of a six-wing Chua's junction type local active memristor. The system comprises a state variable generation circuit and a state-dependent Ohm law circuit. The circuit specifically comprises a two-input anti-phase summation operation circuit, a multi-input anti-phase summation operation circuit, an in-phase integral operation circuit, a multiplier circuit and an Ohm law circuit. Absolute value operation is achieved through amplitude limiting of the two-input anti-phase summation circuit, and a state variable negative value is obtained through the multiple-input anti-phase summation circuit and the in-phase integral operation circuit; a state variable negative value obtained by the output end of the in-phase integral operation circuit is connected into one multiplier circuit, summation and multiplication are achieved through the two multiplier circuits, the Ohm law circuit serves as a voltage follower to be connected with external voltage, and the Ohm law is applied to a resistor to obtain the relation of current and voltage with respect to a state variable x. According to the invention, the cost limitation of a high-complexity memristor circuit is overcome, and integration and optimization of functions are realized.

Description

Technical Field

[0001] The invention belongs to the field of circuit design, relates to a circuit simulator implementation of a memristor model, and specifically relates to an equivalent analog circuit of a six-wing Chua junction type local active memristor. Background Art

[0002] The demand for massive data processing and storage in the digital age is increasing day by day, while traditional storage technology based on CMOS technology has reached its development limit. To manufacture memory with faster data processing speed and lower power consumption, a new storage medium different from the CMOS storage mechanism is needed. The fourth basic circuit element, memristor, has many excellent characteristics that are compatible with storage devices, including nanometer size, low power consumption, integration, and compatibility with CMOS technology. More importantly, unlike traditional dynamic random access memory (DRAM), memristor has non-volatile characteristics, and the stored information will not be lost even in the case of power failure, which makes memristor have great potential to become the next generation of storage devices. Excellent storage devices require multi-value storage capabilities. At present, most multi-balance point memristors with multi-value storage capabilities are mostly in the theoretical modeling stage. Feasible circuit models and physical models with practical application value have not been proposed and studied, which cannot meet actual needs.

[0003] The six-wing Chua's junction local active memristor was proposed by Zubaer I. Mannan, a Korean scholar, in 2018 based on the structure of the classic Chua's junction memristor. It has four stable equilibrium points and four memristor values, and is a four-value memristor. Because its DC volt-ampere characteristic curve (DC VI diagram) is a six-winged junction curve, it is called the six-wing Chua's junction local active memristor. However, the existing equivalent circuit model of the six-wing Chua's junction local active memristor is extremely complex and has no practical application value.

[0004] Based on the above background, exploring and realizing an analog circuit of a six-wing Chua's junction local active memristor with multiple stable equilibrium points is of great significance for the research and application of memristive memory. Summary of the invention

[0005] In view of the deficiencies in the prior art, the present invention proposes an equivalent analog circuit of a six-wing Chua junction type local active memristor. The equivalent analog circuit of the six-wing Chua junction type local active memristor implemented by the present invention has a simple structure, is easy to implement, and is low in cost. It has the potential for large-scale application on integrated circuits, can be used for four-value memory and four-value brain-like logical operation functions, and has broad application prospects in the field of memory and logic circuits. As a non-volatile memory, the memristor can replace traditional flash memory and traditional dynamic random access memory, providing higher capacity and lower power consumption for storage. In addition, thanks to its four stable equilibrium point characteristics, the six-wing Chua junction type local active memristor can switch between four stable states, which makes the memristor have the potential to become a multi-state memory device based on unidirectional spin Hall magnetoresistance.

[0006] The technical solution adopted by the present invention to solve the technical problem is as follows:

[0007] An equivalent analog circuit of a six-wing Chua's junction type local active memristor includes six operational amplifiers, two multipliers, twenty-four resistors, four DC power supply voltage sources, two capacitors and a sinusoidal AC voltage source; and a theoretical model of the six-wing Chua's junction type local active memristor is as follows:

[0008]

[0009] Among them, i, v, and x are the current, voltage across the two ends, and state variables of the memristor, respectively.

[0010] Furthermore, the equivalent analog circuit of the six-wing Chua junction local active memristor is composed of a state variable generating circuit and a state-dependent Ohm's law circuit; wherein, the state variable generating circuit is composed of three two-input inverting summation operation circuits, a multi-input inverting summation operation circuit and a same-phase integration operation circuit, and the state-dependent Ohm's law circuit is composed of two multiplier circuits and an Ohm's law circuit.

[0011] The sinusoidal AC voltage source v M The positive electrode is connected to the third operational amplifier U 1C The tenth pin, sinusoidal AC voltage source v M The negative terminal of the first resistor R 1 One end is connected to the fourth operational amplifier U 2A The second pin, the first resistor R 1 The other end is connected to the second operational amplifier U 1 The seventh pin of the second resistor R 2 One end of the resistor R 2 The other end is connected to the fourth operational amplifier U 2A The third resistor R 3 One end is connected to the fourth operational amplifier U2A The second pin, the third resistor R 3 The other end is connected to the fourth operational amplifier U 2A The fourth resistor R 4 One end of the fourth resistor R 4 The other end is connected to the fourth operational amplifier U 2A The third pin of the fifth resistor R 5 One end is connected to the fifth operational amplifier U 2B The sixth pin, the fifth resistor R 5 The other end is connected to the second operational amplifier U 1B The seventh pin of the sixth resistor R 6 One end is connected to the fifth operational amplifier U 2B The sixth pin, the sixth resistor R 6 The other end is connected to a 5V DC power supply. 7 One end is connected to the fifth operational amplifier U 2B The sixth pin, the seventh resistor R 7 The other end is connected to the fifth operational amplifier U 2B The seventh pin of the eighth resistor R 8 One end of the eighth resistor R 8 The other end is connected to the fifth operational amplifier U 2B The ninth resistor R 9 One end is connected to the sixth operational amplifier U 2C The ninth pin, the ninth resistor R 9 The other end is connected to the second operational amplifier U 1B The seventh pin of the tenth resistor R 10 One end is connected to the sixth operational amplifier U 2C The ninth pin, the tenth resistor R 10 The other end is connected to a 7V DC power supply. 11 One end is connected to the sixth operational amplifier U 2C The ninth pin, the eleventh resistor R 11 The other end is connected to the sixth operational amplifier U 2C The twelfth resistor R 12 One end is connected to the sixth operational amplifier U 2C The tenth pin, the twelfth resistor R 12 The other end of the resistor R 13 One end is connected to the first operational amplifier U 1A The second pin, the thirteenth resistor R 13 The other end is connected to the fourth operational amplifier U 2A The first pin of the fourteenth resistor R 14 One end is connected to the first operational amplifier U 1AThe second pin, the fourteenth resistor R 14 The other end is connected to the fifth operational amplifier U 2B The seventh pin. The fifteenth resistor R 15 One end is connected to the first operational amplifier U 1A The second pin, the fifteenth resistor R 15 The other end is connected to the sixth operational amplifier U 2C The 16th resistor R 16 One end is connected to the first operational amplifier U 1A The second pin, the sixteenth resistor R 16 The other end is connected to the third operational amplifier U 1C The 17th resistor R 17 One end is connected to the first operational amplifier U 1A The second pin, the seventeenth resistor R 17 The other end is connected to a 11V DC power supply. 18 One end is connected to the first operational amplifier U 1A The second pin, the eighteenth resistor R 18 The other end is connected to the second operational amplifier U 1B The 19th resistor R 19 One end is connected to the first operational amplifier U 1A The second pin, the nineteenth resistor R 19 The other end is connected to the first operational amplifier U 1A The first pin. The twentieth resistor R 20 One end is connected to the first operational amplifier U 1A The third pin, the twentieth resistor R 20 The other end of the resistor R 21 One end is connected to the first operational amplifier U 1A The first pin, the twenty-first resistor R 21 The other end is connected to the second operational amplifier U 1B The fifth pin. The twenty-second resistor R 22 One end is connected to the second operational amplifier U 1B The sixth pin, the twenty-second resistor R 22 The other end of the resistor R 23 One end is connected to the second operational amplifier U 1B The sixth pin, the twenty-third resistor R 23 The other end is connected to the second operational amplifier U 1B The 24th resistor R 24 One end is connected to the third operational amplifier U 1C The tenth pin, the twenty-fourth resistor R 24 The other end is connected to the second multiplier U 4The first capacitor C 1 One end is connected to the second operational amplifier U 1B The fifth pin, the first capacitor C 1 The other end of the second capacitor C 2 One end is connected to the second operational amplifier U 1B The sixth pin, the second capacitor C 2 The other end is connected to the second operational amplifier U 1B The seventh pin of the third operational amplifier U 1C The ninth pin is connected to the third operational amplifier U 1C The eighth pin of the first multiplier U 3 The input port x 1 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 Input port y 2 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 The input port x 2 ,y 1 Ground, the first multiplier U 3 The Z port of the second multiplier U 4 The input port x 1 Connect to the first multiplier U 3 The W port of the second multiplier U 4 Input port y 1 Connect to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The input port x 2 ,y 2 Ground, the second multiplier U 4 The Z port is connected to the third operational amplifier U 1C The eighth pin of the DC power supply voltage source VCC and VDD are the first operational amplifier U 1A , the second operational amplifier U 1B , the third operational amplifier U 1C , the first multiplier U 3 and the second multiplier U 4 Provides DC power supply. DC power supply voltage sources VEE and VFF are used for the fourth operational amplifier U 2A , the fifth operational amplifier U 2B , the sixth operational amplifier U 2C Provides DC power supply.

[0012] Among them, v A1 The fourth operational amplifier U 2A Output voltage; v A2 The fifth operational amplifier U 2BOutput voltage; v A3 The sixth operational amplifier U 2C Output voltage; v B The first operational amplifier U 1A Output voltage; v C The second operational amplifier U 1B Output voltage; v D is the second multiplier U 4 Output voltage; v E The third operational amplifier U 1C output voltage.

[0013] Furthermore, the operational amplifier is TL084 and the multiplier is AD633AN.

[0014] The beneficial effects of the present invention are as follows:

[0015] The six-wing Chua's junction type local active memristor equivalent analog circuit implemented by the present invention has the characteristics of simple structure, low cost, convenient testing, easy integration, etc. It only uses four integrated chips and some peripheral passive devices to build the circuit, realizing the conversion of complex mathematical models to simple circuit models. Excellent storage devices require multi-value storage capabilities. At present, most multi-balance point memristors with multi-value storage capabilities remain in the theoretical modeling stage. The feasible circuit model and physical model with practical application value have not been proposed for research, and cannot meet the actual needs. The six-wing Chua's junction type memristor has more stable equilibrium points (four), and it is easy to realize the free switching of stable states through pulse excitation. It is suitable for the design of low-power multi-value memory and the realization of non-volatile state logic operation functions, but the simple circuit model of the memristor with practical application value has not been proposed. The present invention proposes an equivalent analog circuit of a six-wing Chua's junction type local active memristor, which only uses two multipliers and six operational amplifiers and twenty-four resistors, two capacitors and four DC power supplies, has a simple structure, low cost, and is easy to implement. The six-wing Chua junction memristor equivalent analog circuit has the potential for large-scale application in integrated circuits and has broad application prospects in the fields of memory and logic circuits. At the same time, thanks to its characteristic of having four stable equilibrium points, the memristor equivalent analog circuit has the potential to become a multi-state memory device based on unidirectional spin Hall magnetoresistance. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] Figure 1 is an equivalent circuit diagram of the memristor of the present invention;

[0017] Figure 2 is an equivalent circuit schematic diagram of the memristor of the present invention;

[0018] Figure 3 is a DC VI diagram of a theoretical model of the memristor of the present invention;

[0019] Figure 4 It is a Multisim simulation diagram of the equivalent circuit of the hysteresis curve of the memristor of the present invention;

[0020] Figure 5 It is a Matlab simulation diagram of the theoretical model of the memristor hysteresis curve of the present invention. DETAILED DESCRIPTION

[0021] The technical solution of the present invention is further described below in conjunction with the accompanying drawings and embodiments.

[0022] like Figure 1 , 2 As shown, an equivalent analog circuit of a six-wing Chua's junction local active memristor includes six operational amplifiers, two multipliers, twenty-four resistors, four DC power supply voltage sources, two capacitors and a sinusoidal AC voltage source;

[0023] The state variable generation circuit consists of three two-input inverting summation circuits (U 2A , U 2B , U 2C ), a multi-input inverting summing circuit (U 1A ) and a common-phase integration circuit (U 1B ), the absolute value operation is realized by limiting the two-input inverting summing circuit, and the negative value of the state variable is obtained by the multi-input inverting summing circuit and the in-phase integration operation circuit. The state-dependent Ohm's law circuit consists of two multiplier circuits (U 3 , U 4 ), Ohm's law circuit (U 1C ) composition, U 1B The negative value of the state variable obtained at the output is connected to the multiplier U 3 In the multiplier U 3 , U 4 Implement summation and multiplication operations, U 1C As a voltage follower connected to the external voltage, for R 24 Apply Ohm's law to obtain the relationship between current and voltage on the state variable x, so as to complete the circuit design, such as Figure 2 As shown. The Multisim circuit simulation shows the shape of the hysteresis curve, and is consistent with the theoretical model simulation in Matlab within a reasonable error range. The six-wing Chua junction local active memristor has four stable equilibrium points and four memristor values. It is a four-value memristor that can be used for four-value memory. It has the ability to become a multi-state memory device based on unidirectional spin Hall magnetoresistance and can be used on an integrated circuit on a large scale. It overcomes the cost limitations of high-complexity memristor circuits and achieves functional integration and optimization.

[0024] The sinusoidal AC voltage source v MThe positive electrode is connected to the third operational amplifier U 1C The tenth pin, sinusoidal AC voltage source v M The negative electrode of the first resistor R 1 One end is connected to the fourth operational amplifier U 2A The second pin, the first resistor R 1 The other end is connected to the second operational amplifier U 1B The seventh pin of the second resistor R 2 One end of the resistor is connected to a 6V DC power supply, and the second resistor R 2 The other end is connected to the fourth operational amplifier U 2A The third resistor R 3 One end is connected to the fourth operational amplifier U 2A The second pin, the third resistor R 3 The other end is connected to the fourth operational amplifier U 2A The fourth resistor R 4 One end of the fourth resistor R 4 The other end is connected to the fourth operational amplifier U 2A The third pin of the fifth resistor R 5 One end is connected to the fifth operational amplifier U 2B The sixth pin, the fifth resistor R 5 The other end is connected to the second operational amplifier U 1B The seventh pin of the sixth resistor R 6 One end is connected to the fifth operational amplifier U 2B The sixth pin, the sixth resistor R 6 The other end is connected to a 5V DC power supply. 7 One end is connected to the fifth operational amplifier U 2B The sixth pin, the seventh resistor R 7 The other end is connected to the fifth operational amplifier U 2B The seventh pin of the eighth resistor R 8 One end of the eighth resistor R 8 The other end is connected to the fifth operational amplifier U 2B The ninth resistor R 9 One end is connected to the sixth operational amplifier U 2C The ninth pin, the ninth resistor R 9 The other end is connected to the second operational amplifier U 1B The seventh pin of the tenth resistor R 10 One end is connected to the sixth operational amplifier U 2C The ninth pin, the tenth resistor R 10 The other end is connected to a 7V DC power supply. 11 One end is connected to the sixth operational amplifier U 2C The ninth pin, the eleventh resistor R11 The other end is connected to the sixth operational amplifier U 2C The twelfth resistor R 12 One end is connected to the sixth operational amplifier U 2C The tenth pin, the twelfth resistor R 12 The other end of the resistor R 13 One end is connected to the first operational amplifier U 1A The second pin, the thirteenth resistor R 13 The other end is connected to the fourth operational amplifier U 2A The first pin of the fourteenth resistor R 14 One end is connected to the first operational amplifier U 1A The second pin, the fourteenth resistor R 14 The other end is connected to the fifth operational amplifier U 2B The seventh pin. The fifteenth resistor R 15 One end is connected to the first operational amplifier U 1A The second pin, the fifteenth resistor R 15 The other end is connected to the sixth operational amplifier U 2C The 16th resistor R 16 One end is connected to the first operational amplifier U 1A The second pin, the sixteenth resistor R 16 The other end is connected to the third operational amplifier U 1C The 17th resistor R 17 One end is connected to the first operational amplifier U 1A The second pin, the seventeenth resistor R 17 The other end is connected to a 11V DC power supply. 18 One end is connected to the first operational amplifier U 1A The second pin, the eighteenth resistor R 18 The other end is connected to the second operational amplifier U 1B The 19th resistor R 19 One end is connected to the first operational amplifier U 1A The second pin, the nineteenth resistor R 19 The other end is connected to the first operational amplifier U 1A The first pin. The twentieth resistor R 20 One end is connected to the first operational amplifier U 1A The third pin, the twentieth resistor R 20 The other end of the resistor R 21 One end is connected to the first operational amplifier U 1A The first pin, the twenty-first resistor R 21 The other end is connected to the second operational amplifier U 1B The fifth pin. The twenty-second resistor R22 One end is connected to the second operational amplifier U 1B The sixth pin, the twenty-second resistor R 22 The other end of the resistor R 23 One end is connected to the second operational amplifier U 1B The sixth pin, the twenty-third resistor R 23 The other end is connected to the second operational amplifier U 1B The 24th resistor R 24 One end is connected to the third operational amplifier U 1C The tenth pin, the twenty-fourth resistor R 24 The other end is connected to the second multiplier U 4 The first capacitor C 1 One end is connected to the second operational amplifier U 1B The fifth pin, the first capacitor C 1 The other end of the second capacitor C 2 One end is connected to the second operational amplifier U 1B The sixth pin, the second capacitor C 2 The other end is connected to the second operational amplifier U 1B The seventh pin of the third operational amplifier U 1C The ninth pin is connected to the third operational amplifier U 1C The eighth pin of the first multiplier U 3 The input port x 1 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 Input port y 2 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 The input port x 2 ,y 1 Ground, the first multiplier U 3 The Z port of the second multiplier U 4 The input port x 1 Connect to the first multiplier U 3 The W port of the second multiplier U 4 Input port y 1 Connect to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The input port x 2 ,y 2 Ground, the second multiplier U 4 The Z port is connected to the third operational amplifier U 1C The eighth pin of the DC power supply voltage source VCC and VDD are the first operational amplifier U 1A , the second operational amplifier U1B , the third operational amplifier U 1C , the first multiplier U 3 and the second multiplier U 4 Provides DC power supply. DC power supply voltage sources VEE and VFF are used for the fourth operational amplifier U 2A , the fifth operational amplifier U 2B , the sixth operational amplifier U 2C Provides DC power supply.

[0025] Among them, v A1 The fourth operational amplifier U 2A Output voltage; v A2 The fifth operational amplifier U 2B Output voltage; v A3 The sixth operational amplifier U 2C Output voltage; v B The first operational amplifier U 1A Output voltage; v C The second operational amplifier U 1B Output voltage; v D is the second multiplier U 4 Output voltage; v E The third operational amplifier U 1C output voltage.

[0026] Furthermore, the operational amplifier is TL084 and the multiplier is AD633AN.

[0027] The parameter table of each component of the analog circuit is as follows

[0028] Table 1 Circuit component parameters

[0029] element value element value <![CDATA[R 1 ]]> 30kΩ <![CDATA[R 15 ]]> 9kΩ <![CDATA[R 2 ,R 3 ,R 7 ,R 11 ]]> 20kΩ <![CDATA[R 16 ,R 18 ]]> 63kΩ <![CDATA[R 4 ]]> 7.5kΩ <![CDATA[R 19 ]]> 63Ω <![CDATA[R 5 ]]> 50kΩ <![CDATA[R 20 ]]> 50Ω <![CDATA[R 6 ,R 10 ,R 21 ,R 22 ,R 24 ,]]> 10kΩ <![CDATA[R 23 ]]> 100MΩ <![CDATA[R 8 ]]> 6kΩ <![CDATA[C 1 ,C 2 ]]> 100nF

[0030] The specific function can be divided into two-input inverting summation operation circuit module, multi-input inverting summation operation circuit module, in-phase integration operation circuit module, multiplier circuit module, and Ohm's law circuit module. (As shown in the attached Figure 2 ). Among them, the two-input inverting summation operation circuit module, the multi-input inverting summation operation circuit module and the in-phase integration operation circuit module together constitute a state variable generation circuit, and the multiplier circuit module and the Ohm's law circuit module together constitute a state-dependent Ohm's law circuit.

[0031] First, the two-input inverting summing circuit module is composed of a fourth operational amplifier U 2A The two-input inverting summing circuit and the fifth operational amplifier U 2B The two-input inverting summing operation circuit and the sixth operational amplifier U 2CThe two-input inverting summing operation circuit is composed of the six absolute value addition and subtraction parts in the state variable equation (Formula (10)). 2A The second operational amplifier U 2A The first pin (output port) is connected to the third resistor R 3 One end of the fourth operational amplifier U 2A The second pin (negative input port) is connected to the first resistor R 1 , the second resistor R 2 One end of the third resistor R 3 The other end of the fourth operational amplifier U 2A The third pin (positive input port) is connected to the fourth resistor R 4 One end of the fourth operational amplifier U 2A The fourth pin (positive power supply port) is connected to VEE, and the fourth operational amplifier U 2A The eleventh pin (negative power supply port) is connected to VFF. According to the relevant knowledge of operational amplifier circuit, we can get:

[0032]

[0033] Since the fourth operational amplifier U 2A The supply voltage limit can be rewritten as:

[0034]

[0035] Similarly, for the fifth operational amplifier U 2B The two-input inverting summing circuit is composed of the fifth operational amplifier U 2B The seventh pin (output port) is connected to the seventh resistor R 7 One end of the fifth operational amplifier U 2B The sixth pin (negative input port) is connected to the fifth resistor R 5 , the sixth resistor R 6 One end of the seventh resistor R 7 The other end of the fifth operational amplifier U 2B The fifth pin (positive input port) is connected to the eighth resistor R 8 One end of the fifth operational amplifier U 2B The fourth pin (positive power supply port) is connected to VEE, and the fifth operational amplifier U 2B The eleventh pin (negative power supply port) is connected to VFF. According to the relevant knowledge of operational amplifier circuit, we can get:

[0036]

[0037] Similarly, for the sixth operational amplifier U 2CThe second operational amplifier U 2C The eighth pin (output port) is connected to the eleventh resistor R 11 One end of the sixth operational amplifier U 2C The ninth pin (negative input port) is connected to the ninth resistor R 9 , the tenth resistor R 10 One end of the eleventh resistor R 11 The other end of the sixth operational amplifier U 2C The tenth pin (positive input port) is connected to the twelfth resistor R 12 One end of the sixth operational amplifier U 2C The fourth pin (positive power supply port) is connected to VEE, and the sixth operational amplifier U 2C The eleventh pin (negative power supply port) is connected to VFF. According to the relevant knowledge of operational amplifier circuit, we can get:

[0038]

[0039] The multi-input inverting addition operation circuit module is composed of a first operational amplifier U 1A and the thirteenth resistor R 13 , the fourteenth resistor R 14 , the fifteenth resistor R 15 16th resistor R 16 17th resistor R 17 , Eighteenth resistor R 18 , 19th resistor R 19 、The 20th resistor R 20 The first operational amplifier U 1A The first pin is connected to the nineteenth resistor R 19 One end of the first operational amplifier U 1A The second pin is connected to the thirteenth resistor R 13 , the fourteenth resistor R 14 , the fifteenth resistor R 15 16th resistor R 16 17th resistor R 17 , Eighteenth resistor R 18 One end of these resistors and the nineteenth resistor R 19 The other end of the first operational amplifier U 1A The third pin is connected to the twentieth resistor R 20 One end of the first operational amplifier U 1A The fourth pin of the first operational amplifier U 1A The eleventh pin is connected to VDD. According to the relevant knowledge of operational amplifier circuit, we can get:

[0040]

[0041] Substituting the relevant data in Table 1 into equations (3), (4), and (5), the simplified formula can be rewritten as:

[0042]

[0043] The in-phase integration circuit module consists of a second operational amplifier U 1B and the twenty-first resistor R 21 、22nd resistor R 22 、23rd resistor R 23 and the first capacitor C 1 , the second capacitor C 2 The second operational amplifier U 1B The seventh pin is connected to the second capacitor C 2 One end of the 23rd resistor R 23 One end of the second operational amplifier U 1B The sixth pin is connected to the second capacitor C 2 The other end of the 22nd resistor R 22 One end of the 23rd resistor R 23 The other end of the second operational amplifier U 1B The fifth pin is connected to the twenty-first resistor R 21 One end and the first capacitor C 1 One end of the second operational amplifier U 1B The fourth pin of the second operational amplifier U 1B The eleventh pin is connected to VDD. According to the relevant knowledge of operational amplifier circuit, we can get:

[0044]

[0045] Substituting the relevant data in Table 1 into formula (7), it can be rewritten as follows after simplification:

[0046]

[0047] Since the third operational amplifier U 1C The circuit is a voltage follower circuit, and we can get v M =v E , let x = -v C , v = v E . We can get:

[0048]

[0049] The multiplier circuit module consists of a first multiplier U 3 and the second multiplier U 4The first multiplier U realizes the function of multiplying and adding dependent variables. 3 The input port x 1 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 Input port y 2 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 The input port x 2 ,y 1 Ground, the first multiplier U 3 The Z port of the second multiplier U 4 The input port x 1 Connect to the first multiplier U 3 The W port of the second multiplier U 4 Input port y 1 Connect to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The input port x 2 ,y 2 Ground, the second multiplier U 4 The Z port is connected to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The W port is connected to the twenty-fourth resistor R 24 The first multiplier U 3 and the second multiplier U 4 The +VS port of the first multiplier U 3 and the second multiplier U 4 The -VS port is connected to the DC power supply VDD. According to the knowledge related to the multiplier circuit, we can calculate:

[0050]

[0051] After simplification, it can be rewritten as:

[0052]

[0053] The Ohm's law circuit module consists of the third operational amplifier U 1C and the twenty-fourth resistor R 24 The third operational amplifier U 1C The eighth pin is connected to the third operational amplifier U 1C The ninth pin and the second multiplier U 4 Input port y 1 and Z port, the third operational amplifier U 1CThe tenth pin is connected to the twenty-fourth resistor R 24 One end and the sinusoidal AC voltage source v M The positive terminal of the third operational amplifier U 1C The fourth pin is connected to the DC power supply VCC, and the third operational amplifier U 1C The eleventh pin of is connected to the DC power supply VDD. According to the relevant knowledge of operational amplifiers:

[0054] v E =v M (13)

[0055] From Ohm's law we can get:

[0056]

[0057] Substituting the relevant data in Table 1 into formula (12), it can be rewritten as follows after simplification:

[0058]

[0059] Let x = -v C , v = v M , i=i M We can get:

[0060]

[0061] So, let v = v M , i=i M , using equation (9) and equation (15) together to calculate the current using Ohm's law, we get the theoretical model of the six-wing Chua junction local active memristor as shown in equation (1).

[0062] Figure 3 is the DC VI diagram of the six-wing Chua junction memristor of the present invention, Figure 4 It is a Multisim simulation diagram of the equivalent circuit of the hysteresis curve of the memristor of the present invention. Figure 5 This is a Matlab simulation diagram of the theoretical model of the memristor hysteresis curve of the present invention. Figure 3 The DC VI graph shown is a six-winged junction curve, so the memristor is called a six-winged Chua junction local active memristor. By comparing the memristor model with the equivalent circuit, it is found that the theoretical model is consistent with the actual analog circuit simulation model within a reasonable error range, verifying the correctness of the analog circuit.

[0063] The present invention is only implemented in one way, and the present invention is not limited to just one way. For technicians in the relevant fields, as long as they are within the protection scope of the present invention, the implementation method can be modified and deformed, and the above changes all fall within the scope of variation of the present invention.

Claims

1. An equivalent analog circuit of a six-wing Chua junction local active memristor, Features The circuit is composed of a state variable generating circuit and a state-dependent Ohm's law circuit; the state variable generating circuit is composed of three two-input inverting summing operation circuits, one multi-input inverting summing operation circuit and one in-phase integral operation circuit, and the state-dependent Ohm's law circuit is composed of two multiplier circuits and one Ohm's law circuit; the state variable generating circuit is composed of three two-input inverting summing operation circuits, one multi-input inverting summing operation circuit and one in-phase integral operation circuit; the absolute value operation is realized by limiting the two-input inverting summing circuit, and the negative value of the state variable is obtained by the multi-input inverting summing circuit and the in-phase integral operation circuit; the state-dependent Ohm's law circuit is composed of two multiplier circuits and one Ohm's law circuit, the negative value of the state variable obtained at the output end of the in-phase integral operation circuit is connected to one of the multiplier circuits, and then the summation and multiplication operations are realized by the two multiplier circuits, and the Ohm's law circuit is connected to the external voltage as a voltage follower, and the relationship between the current and voltage and the state variable x is obtained by applying Ohm's law to the resistor.

2. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 1, It is characterized in that The two-input inverting summing operation circuit module is composed of a fourth operational amplifier U 2A The first two-input inverting summing circuit and the fifth operational amplifier U 2B The second two-input inverting summing operation circuit and the sixth operational amplifier U 2C The third two-input inverting summing operation circuit is composed of the six absolute value addition and subtraction parts in the state variable equation, and the fourth operational amplifier U 2A The first two-input inverting summing operation circuit, the fourth operational amplifier U 2A The first pin is connected to the third resistor R 3 One end of the fourth operational amplifier U 2A The second pin is connected to the first resistor R 1 , the second resistor R 2 One end of the third resistor R 3 The other end of the fourth operational amplifier U 2A The third pin is connected to the fourth resistor R 4 One end of the fourth operational amplifier U 2A The fourth pin of the fourth operational amplifier U 2A The eleventh pin is connected to VFF. According to the knowledge of operational amplifier circuits, we can get: Since the fourth operational amplifier U 2A The supply voltage limit is rewritten as: Similarly, for the fifth operational amplifier U 2B The second two-input inverting summing operation circuit, the fifth operational amplifier U 2B The seventh pin is connected to the seventh resistor R 7 One end of the fifth operational amplifier U 2B The sixth pin is connected to the fifth resistor R 5 , the sixth resistor R 6 One end of the seventh resistor R 7 The other end of the fifth operational amplifier U 2B The fifth pin is connected to the eighth resistor R 8 One end of the fifth operational amplifier U 2B The fourth pin is connected to VEE, and the fifth operational amplifier U 2B The eleventh pin is connected to VFF; according to the relevant knowledge of operational amplifier circuit, we can get: Similarly, for the sixth operational amplifier U 2C The third two-input inverting summing operation circuit, the sixth operational amplifier U 2C The eighth pin is connected to the eleventh resistor R 11 One end of the sixth operational amplifier U 2C The ninth pin is connected to the ninth resistor R 9 , the tenth resistor R 10 One end of the eleventh resistor R 11 The other end of the sixth operational amplifier U 2C The tenth pin is connected to the twelfth resistor R 12 One end of the sixth operational amplifier U 2C The fourth pin of the sixth operational amplifier U 2C The eleventh pin is connected to VFF; according to the relevant knowledge of operational amplifier circuit, we can get:

3. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 2, It is characterized in that The multi-input inverting addition operation circuit module is composed of a first operational amplifier U 1A and the thirteenth resistor R 13 , the fourteenth resistor R 14 , the fifteenth resistor R 15 16th resistor R 16 17th resistor R 17 , Eighteenth resistor R 18 , 19th resistor R 19 、The 20th resistor R 20 The first operational amplifier U 1A The first pin is connected to the nineteenth resistor R 19 One end of the first operational amplifier U 1A The second pin is connected to the thirteenth resistor R 13 , the fourteenth resistor R 14 , the fifteenth resistor R 15 16th resistor R 16 17th resistor R 17 , Eighteenth resistor R 18 One end of these resistors and the nineteenth resistor R 19 The other end of the first operational amplifier U 1A The third pin is connected to the twentieth resistor R 20 One end of the first operational amplifier U 1A The fourth pin of the first operational amplifier U 1A The eleventh pin is connected to VDD; according to the relevant knowledge of operational amplifier circuits:

4. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 3, It is characterized in that The in-phase integration circuit module consists of a second operational amplifier U 1B and the twenty-first resistor R 21 、22nd resistor R 22 、23rd resistor R 23 and the first capacitor C 1 , the second capacitor C 2 The second operational amplifier U 1B The seventh pin is connected to the second capacitor C 2 One end of the 23rd resistor R 23 One end of the second operational amplifier U 1B The sixth pin is connected to the second capacitor C 2 The other end of the 22nd resistor R 22 One end of the 23rd resistor R 23 The other end of the second operational amplifier U 1B The fifth pin is connected to the twenty-first resistor R 21 One end and the first capacitor C 1 One end of the second operational amplifier U 1B The fourth pin of the second operational amplifier U 1B The eleventh pin is connected to VDD; according to the relevant knowledge of operational amplifier circuits:

5. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 4, It is characterized in that The multiplier circuit module consists of a first multiplier U 3 and the second multiplier U 4 The first multiplier U 3 The input port x 1 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 Input port y 2 Connect to the second operational amplifier U 1B The seventh pin of the first multiplier U 3 The input port x 2 ,y 1 Ground, the first multiplier U 3 The Z port of the second multiplier U 4 The input port x 1 Connect to the first multiplier U 3 The W port of the second multiplier U 4 Input port y 1 Connect to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The input port x 2 ,y 2 Ground, the second multiplier U 4 The Z port is connected to the third operational amplifier U 1C The eighth pin of the second multiplier U 4 The W port is connected to the twenty-fourth resistor R 24 One end of the first multiplier U 3 and the second multiplier U 4 The +VS port of the first multiplier U 3 and the second multiplier U 4 The -VS port is connected to the DC power supply VDD; according to the knowledge related to the multiplier circuit, it is calculated that: After simplification, it becomes:

6. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 5, It is characterized in that The Ohm's law circuit module consists of the third operational amplifier U 1C and the twenty-fourth resistor R 24 The composition realizes the Ohm's law operation on the dependent state, and finally obtains the Ohm's law equation of the dependent state; wherein the third operational amplifier U 1C The eighth pin is connected to the third operational amplifier U 1C The ninth pin and the second multiplier U 4 Input port y 1 and Z port, the third operational amplifier U 1C The tenth pin is connected to the twenty-fourth resistor R 24 One end and the sinusoidal AC voltage source v M The positive terminal of the third operational amplifier U 1C The fourth pin is connected to the DC power supply VCC, and the third operational amplifier U 1C The eleventh pin is connected to the DC power supply VDD; according to the relevant knowledge of operational amplifiers, we can get: v E =v M (9) From Ohm's law we can get:

7. The equivalent analog circuit of the six-wing Chua's junction local active memristor according to claim 1, It is characterized in that The input and output waveforms present hysteresis curve shapes, and the theoretical model is consistent with the actual analog circuit simulation model within a reasonable error range.

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