Multi-stage pulse magnetic control memristor multi-neuron chaotic circuit

Abstract

The invention discloses a multi-stage pulse magnetic control memristor multi-neuron chaotic circuit, and belongs to the technical field of chaotic circuits. Comprising a magnetic control memristor module, a multi-neuron integral-hyperbolic tangent operation module and a multistage pulse input module which are electrically connected to form a nonlinear chaotic circuit. The magnetic control memristive module provides nonlinear memristive characteristics to magnetically control and adjust neuron signals; the multi-neuron integral-hyperbolic tangent operation module comprises at least one channel and is used for completing signal integral and hyperbolic tangent nonlinear transformation, and three independent channels are preferably selected; the multistage pulse input module inputs multistage pulse signals with adjustable amplitude and frequency. Through PSIM simulation and experimental board physical verification, an output voltage phase diagram observed by an oscilloscope is consistent with a simulation phase diagram, and it is proved that the circuit can flexibly generate 1-4 vortex attractors to adapt to scenes of safety communication, artificial intelligence, teaching, scientific research and the like.

Description

Technical Field

[0001] This invention relates to the field of chaotic circuit technology, and in particular to a multi-level pulsed magnetically controlled memristor multi-neuron chaotic circuit. Background Technology

[0002] In 1982, Hopfield proposed the Hopfield neural network (HNN) model, a brain-like neural network with a feedback mechanism. This model possesses multi-processing capabilities and nonlinear characteristics, and can reflect the firing activity of a large number of neurons. It has been widely used in secure communication and artificial intelligence, such as in secure communication, synchronization control, control engineering, and optimization problems. Therefore, studying the intrinsic complex dynamics of HNNs is crucial.

[0003] Memristors are the fourth type of electronic component discovered after capacitors, resistors, and inductors. They have strong nonlinear characteristics, so they are often used in coupled models of chaotic systems and neural networks, and have good application prospects in many fields.

[0004] For neural network systems, multi-vortex attractors are mostly generated using multi-segmented hyperbolic tangent memristors. However, this method is prone to hysteresis in dynamic response, fixed structural parameter tuning, and hardware implementation complexity. Therefore, it is essential to explore multi-vortex attractor generation methods using multi-stage pulses. Summary of the Invention

[0005] The purpose of this invention is to provide a multi-level pulsed magnetically controlled memristor multi-neuron chaotic circuit, which aims to solve the problems of lag in dynamic response, fixed structural parameters, and complex hardware implementation in traditional neural network chaotic circuits.

[0006] To achieve the above objectives, the present invention provides a multi-level pulsed magnetically controlled memristor multi-neuron chaotic circuit, comprising: Magnetically controlled memristor module: used to provide nonlinear memristor characteristics to achieve magnetically controlled modulation of neuron signals; Multi-neuron Integral-Hyperbolic Tangent Calculation Module: Contains at least one integral-hyperbolic tangent transform channel, each channel is used to perform integral calculation of neuron signals and hyperbolic tangent Tanh nonlinear transformation; Multi-level pulse input module: used to input multi-level pulse signals IMLP into the multi-neuron integral-hyperbolic tangent operation module; The magnetically controlled memristor module, the multi-neuron integral-hyperbolic tangent operation module, and the multi-level pulse input module are electrically connected to form a nonlinear chaotic circuit that can output a chaotic voltage signal.

[0007] Preferably, the multi-neuron integral-hyperbolic tangent operation module includes three independent integral-hyperbolic tangent transform channels, each channel containing: At least one operational amplifier is used to perform inverting / non-inverting operations on the signal; At least one capacitor is used in conjunction with an operational amplifier to achieve the integration function; One hyperbolic tangent function unit (Tanh unit) is used to perform nonlinear transformation on the integrated signal.

[0008] Preferably, the specific circuit connection of each of the integral-hyperbolic tangent transform channels is as follows: First operational amplifier (e.g.) , , The output terminals of ) are respectively connected to the first resistor ( R The right end of the first capacitor (such as) , , The right end of the ) is connected to the input end of the Tanh unit; The negative input terminal of the first operational amplifier is connected to at least two input resistors (such as...). Connect the right end of the first resistor, the left end of the first capacitor, and the left end of the first capacitor. Second operational amplifier (such as) , , The inverting input terminal of the ) is connected to the output terminal of the Tanh unit through a second resistor ( R The second operational amplifier is connected in parallel with its inverting input and output terminals, and a third resistor is connected in parallel between them. R The output of the second operational amplifier is the nonlinear transformation output signal of the channel (e.g., , , ); The non-inverting input terminals of both the first operational amplifier and the second operational amplifier are grounded.

[0009] Preferably, the multi-stage pulse input module includes: At least one switch (e.g.) , ), used to control the input on / off of multi-level pulse signal (IMLP); At least one signal conditioning submodule (including operational amplifiers and resistors) is used to generate different amplitudes. ) and frequency ( The pulse signal, the output of the signal conditioning submodule is connected to the input resistor (e.g., ...) of the integral-hyperbolic tangent transform channel through the switch. , )connect.

[0010] Preferably, the magnetically controlled memristor module includes: Operational amplifiers, multipliers (such as AD633), resistors, capacitors, the input terminal of the magnetically controlled memristor module, and the output signal of the integral-hyperbolic tangent transform channel (such as...) , The output terminal is connected to the input resistor (e.g., the integral-hyperbolic tangent transform channel) of the integral-hyperbolic tangent transform channel. ) connection, used to output magnetic control adjustment signals (such as A , B ).

[0011] Preferably, the state equation of the chaotic circuit is: ; in, These are the four voltage state variables of the circuit. As a reference resistor, As a reference capacitor, For input resistance, is the magnetic control coefficient.

[0012] Preferably, the system equation and circuit state variables of the chaotic circuit satisfy the following: the four state variables of the system equation correspond to the four voltage state variables of the circuit state equation.

[0013] Preferably, the resistors used in the integral-hyperbolic tangent transform channel and the Tanh unit are precision adjustable potentiometers or precision fixed resistors; the operational amplifier is model TL082CP, and the multiplier in the magnetically controlled memristor module is model AD633.

[0014] Preferably, the capacitance value of the capacitor is in the range of 50~200nF (preferably 100nF); the resistance value of the reference resistor R is in the range of 5~15kΩ (preferably 10kΩ); and the input resistor... The resistance range is 0~5kΩ (preferably 4.54kΩ).

[0015] Preferably, the mathematical expression for the multi-stage pulse signal (IMLP) is: ; in, For pulse amplitude, The pulse frequency, N The number of pulse stages.

[0016] Therefore, the multi-level pulsed magnetically controlled memristor multi-neuron chaotic circuit of the present invention, employing the above-described structure, has the following beneficial effects: (1) This invention eliminates the dynamic response lag problem of traditional multi-segment hyperbolic tangent function memristor chaotic circuit, breaks through the limitation of fixed parameters, and can flexibly generate 1, 2 or 4 vortex attractors by adjusting pulse parameters, resistors and capacitors.

[0017] (2) The present invention adopts a modular design, simplifies the core circuit structure, and selects general-purpose models for key components (such as operational amplifier TL082CP and multiplier AD633), reducing the difficulty of construction; the PSIM simulation results are consistent with the oscilloscope experimental results, and the reliability and repeatability are strong.

[0018] (3) This invention is adapted to fields such as secure communication (providing chaotic carriers with different security levels), artificial intelligence and control engineering (as a hardware carrier for neural networks to achieve precise dynamic control), and teaching and research (as a visualization experimental platform for chaos and neural networks).

[0019] The technical solution of the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description

[0020] Figure 1 This is a schematic diagram of the integral-hyperbolic tangent transform channel module of the present invention; Figure 2 This is a schematic diagram of the circuit connection for the hyperbolic tangent function - Tanh of a neuron; Figure 3 This is a schematic diagram of the connection structure of a multi-stage pulse function; Figure 4 This is a schematic diagram of the connection structure of a magnetically controlled memristor; Figure 5 The following are simulation results of PSIM: (a) is the single attractor PSIM phase diagram; (b) is the double attractor PSIM phase diagram; (c) is the multi-vortex chaotic PSIM phase diagram. Figure 6 The images are output from the chaotic circuit to the oscilloscope; (a) is the waveform of the single attractor oscilloscope; (b) is the waveform of the double attractor oscilloscope; and (c) is the waveform of the multi-vortex chaotic oscilloscope. Detailed Implementation

[0021] The technical solution of the present invention will be further described below with reference to the accompanying drawings and embodiments.

[0022] Unless otherwise defined, the technical or scientific terms used in this invention shall have the ordinary meaning understood by one of ordinary skill in the art to which this invention pertains. The terms "first," "second," and similar terms used in this invention do not indicate any order, quantity, or importance, but are merely used to distinguish different components. Terms such as "comprising" or "including" mean that the element or object preceding the word encompasses the elements or objects listed following the word and their equivalents, without excluding other elements or objects. Terms such as "connected" or "linked" are not limited to physical or mechanical connections, but can include electrical connections, whether direct or indirect. Terms such as "upper," "lower," "left," and "right" are used only to indicate relative positional relationships; when the absolute position of the described object changes, the relative positional relationship may also change accordingly.

[0023] Example refer to Figures 1 to 4 The above is a schematic diagram of a magnetically controlled memristor multi-neuron chaotic circuit under multi-level pulses, as shown in the figure. Figure 1 This constitutes a verification circuit for a Hopfield neural network controlled by a magnetically controlled memristor under multi-stage pulses.

[0024] Figure 2 The circuit connection diagram for the hyperbolic tangent function "-Tanh" includes: operational amplifier, resistors, transistors, DC voltage source, etc. The specific connection method is as follows: Input terminal " Connect a 10kΩ resistor in series. Connected to operational amplifier Inverting input terminal; operational amplifier Connect a 520Ω resistor in parallel. ; The output terminal is connected to a transistor Q 1 The base of the transistor; Q 1 A 1kΩ resistor is connected between the collector and the DC voltage source VCC. Then with operational amplifier Connect a 10kΩ resistor in between. ;triode Q 2 emitter and transistor Q 1 The emitter is connected, and it is also connected to the transistor. Q 3 collector of the transistor Q 3 The emitter and the "2kΩ" resistor Connection, transistor Q 3base and transistor Q 4 The base is connected, and it is also connected to the transistor. Q 4 The collector and the "9.8kΩ" resistor Connection, transistor Q 4 A 2kΩ resistor is connected to the lower end of the emitter. ,resistance With resistance Connected in series and connected to - VCC ;triode Q 2 The collector is also connected to a 1kΩ resistor. Connect one end to a DC voltage source, and connect the other end horizontally to a 10kΩ resistor. To operational amplifier Same input terminal; transistor Q 2 The base is grounded, and the op-amp amplifier A 10kΩ resistor is connected to the non-inverting input terminal. Grounding again. Operational amplifier. A 10kΩ resistor is connected to the inverting input terminal. To the output end In this embodiment, the operating voltage of the DC voltage source is "". ".

[0025] Figure 3 The circuit connection diagram for the multi-stage pulse current function "IMLP" includes: operational amplifier, resistors, sine wave source, etc. The specific connection method is as follows: Input terminal " Connected to operational amplifier The inverting input terminal, " "The other end is grounded; operational amplifier" The non-inverting terminal is grounded, and a 13.5kΩ resistor is connected to the output terminal. and resistance The right end is connected to an operational amplifier. The inverting input terminal; operational amplifier Parallel "1kΩ" Operational amplifier The output terminal is connected to a resistor. , The right end is connected to the switch. Finally, connect it to the output terminal IMLP. Input terminal " Connected to operational amplifier The inverting input terminal, " "The other end is grounded; operational amplifier" The non-inverting terminal is grounded, and a 13.5kΩ resistor is connected to the output terminal. and resistance The right end is connected to an operational amplifier. The inverting input terminal; operational amplifier Connect a 1kΩ resistor in parallel Operational amplifier A resistor is connected to the output terminal. , The right end is connected to the switch. Finally, it is connected to the output terminal IMLP.

[0026] Figure 4 The connection structure diagram of a magnetically controlled memristor includes: an operational amplifier, resistors, multipliers, etc. The specific connection method is as follows: Input terminal " Connect a 10kΩ resistor to the right end. ,resistance The right end is connected to the operational amplifier. The inverting input terminal; input terminal " Connect a 10kΩ resistor to the right end. ,resistance The right end is connected to the operational amplifier. Non-inverting input terminal; operational amplifier Connect a 10kΩ resistor to the non-inverting terminal. Grounded, with a 10kΩ resistor connected to the output terminal. and resistance The right end is connected to an operational amplifier. The inverting input terminal; operational amplifier Connect a 10kΩ resistor in parallel. and a 100nF capacitor Operational amplifier The output terminal is , and with Connect the inverting input terminal to the operational amplifier. The non-inverting input terminal is grounded; operational amplifier The output terminal is connected to a 13.5kΩ resistor. ,resistance The right end is connected to an operational amplifier. operational amplifier The non-inverting input terminal is grounded, and the operational amplifier... With a resistor of "3kΩ" Parallel connection; operational amplifier The output terminal and the multiplier One input is connected to the multiplier. The other input is connected to an operational amplifier. The output terminal of the multiplier; The output terminal is connected to the multiplier. One input terminal, operational amplifier A 10kΩ resistor is connected to the right end of the inverting input terminal. ,resistance The right side of the multiplier The other input is connected; multiplier A 10kΩ resistor is connected to the right end. ,resistance The right end is connected to an operational amplifier. The non-inverting input terminal, and the operational amplifier A 10kΩ resistor is connected to the non-inverting input terminal. Grounding; Multiplier The upper input terminal is connected to a 10kΩ resistor. Connection, resistor The right end and the operational amplifier Connect the inverting input terminal to the operational amplifier. With a resistor of "10kΩ" Parallel, operational amplifier Output terminal Operational amplifier The output terminal is connected to a 10kΩ resistor. ,resistance The right end and the operational amplifier Connect the inverting input terminal to the operational amplifier. The non-inverting input terminal is grounded, and the operational amplifier... With resistance Parallel, operational amplifier Output terminal .

[0027] The memristor model that generates the magnetic flux control signal:

[0028] like Figure 1 As shown, the circuit for implementing the three-dimensional Hopfield neural network system model includes Integral-Hyperbolic Tangent Transform Channel 1, Integral-Hyperbolic Tangent Transform Channel 2, and Integral-Hyperbolic Tangent Transform Channel 3.

[0029] In the first channel of the integral-hyperbolic tangent transform, the operational amplifier... output terminal With resistance The right end of the capacitor The right end of the activation function circuit module - Tanh is connected to the input terminal of the operational amplifier. The negative input terminal and the resistor The right end, resistor The right end, resistor The right end, resistor The right end, resistor The right end, resistor left end, capacitor Connect the left end to the switch. The left end and the input end and The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the output of the positive hyperbolic tangent function unit - Tanh. With resistance Connect the left end to the resistor. The right end and the operational amplifier The inverting input terminal is connected, and the operational amplifier... A resistor is connected in parallel between the inverting input and the output. Operational amplifier The output is Meanwhile, the operational amplifier's and All input terminals are grounded.

[0030] In the second channel of the integral-hyperbolic tangent transform, the operational amplifier... output terminal With resistance The right end of the capacitor The right end of the activation function circuit module - Tanh is connected to the input terminal of the operational amplifier. The negative input terminal and the resistor The right end, resistor The right end, resistor The right end, resistor left end, capacitor The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the output of the hyperbolic tangent function unit - Tanh. With resistance Connect the left end to the resistor. The right end and the operational amplifier The inverting input terminal is connected, and the operational amplifier... A resistor is connected in parallel between the inverting input and the output. Operational amplifier The output is Meanwhile, the operational amplifier's and All input terminals are grounded.

[0031] In the third channel of the integral-hyperbolic tangent transform, the operational amplifier... output terminal With resistance The right end of the capacitor The right end of the activation function circuit module - Tanh is connected to the input terminal of the operational amplifier. The negative input terminal and the resistor The right end, resistor The right end, resistor The right end, resistor left end, capacitor Connect the left end to the switch. The left end and the input end and The left end is connected to the input end. and The left end is connected to the input end. and The left end is connected to the output of the hyperbolic tangent function unit - Tanh. With resistance Connect the left end to the resistor. The right end and the operational amplifier The inverting input terminal is connected, and the operational amplifier... A resistor is connected in parallel between the inverting input and the output. Operational amplifier The output is Meanwhile, the operational amplifier's and All input terminals are grounded.

[0032] , , - - and- It can achieve the connection of different integral-hyperbolic tangent transform channels through feedback, and it is also the internal input terminal of the neural network system. , , It is the input terminal of the neural network model and also the input terminal of the memristor circuit. It can be connected to an oscilloscope to observe the waveform output.

[0033] according to Figures 1 to 4 By connecting the circuit, the multi-stage, pulse-controlled magnetic memristor circuit model of this invention can be obtained:

[0034] Among them, when generating multi-level pulse signals The mathematical expression for the circuit is: ;in, and These represent the amplitude and frequency of the pulse signal, respectively. The selection of circuit components and power supply voltage in this invention is as follows: Figures 1 to 4 All operational amplifiers selected are TL082CP, with a power supply voltage of ± VCC =±15V. Figure 4 The multiplier selected is AD633, and the power supply voltage is ± VCC =±15V. Figures 1 to 2 All transistors used are model 2N1711. To ensure the accuracy of the experimental results, Figures 1 to 4 The resistors used are all precision resistors.

[0035] The resistance parameters of this invention are as follows: Table 1 (Unit: kΩ)

[0036] The capacitance parameters of this invention are as follows: Table 2 (Unit: nF)

[0037] Based on the resistance values ​​in Table 1 and the capacitance values ​​in Table 2, and in conjunction with the control switch... - The number of attractors generated is obtained from the switching state and the amplitude and frequency values ​​of the multi-stage pulses. N The correspondence between them is shown in Table 3: Table 3

[0038] Based on the correspondence between Tables 1, 2, and 3, experiments were conducted on PSIM to demonstrate the present invention. Figure 5 (a), (b), and (c) respectively present the nonlinear characteristics of a magnetically controlled memristor multineuron based on multi-level pulses created in this invention.

[0039] Considering the actual implementation of the circuit, the operational amplifier TL082CP and multiplier AD633 are set to operate at ±15V. The capacitors in the circuit... C 1 , C2 , C 3 , C 4 The voltage values ​​at both ends correspond to the four state variables of the system ( , , , The value of ) was observed using a DS70304 digital oscilloscope, and the output voltage phase diagram was compared with the simulation results of PSIM. Figure 5 (a), (b), (c) and Figure 6 As shown in (a), (b), and (c), it can be seen that... Figure 5 (a), (b), (c) and Figure 6 As shown in (a), (b), and (c), the simulation results of the PSIM circuit are consistent with the experimental results of the chaotic circuit output to the oscilloscope, which fully demonstrates the correlation and reliability of the two results.

[0040] The present invention presents a circuit simulation experiment of the system in PSIM software. Furthermore, a stable magnetically controlled memristor multi-neuron chaotic circuit under multi-stage pulses was constructed on the experimental board. The phase diagram of the output voltage signal of this chaotic circuit observed on an oscilloscope was consistent with the phase diagram simulation results in PSIM software, verifying that the designed analog circuit can realize the magnetically controlled memristor multi-neuron chaotic circuit under multi-stage pulses.

[0041] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can still be made to the technical solutions of the present invention, and these modifications or equivalent substitutions cannot cause the modified technical solutions to deviate from the spirit and scope of the technical solutions of the present invention.

Claims

1. A multi-level pulsed magnetically controlled memristor multi-neuron chaotic circuit, characterized in that, include: Magnetically controlled memristor module: used to provide nonlinear memristor characteristics to achieve magnetically controlled modulation of neuron signals; Multi-neuron Integral-Hyperbolic Tangent Calculation Module: Contains at least one integral-hyperbolic tangent transform channel, each channel is used to perform integral calculation of neuron signals and hyperbolic tangent Tanh nonlinear transformation; Multi-level pulse input module: used to input multi-level pulse signals IMLP into the multi-neuron integral-hyperbolic tangent operation module; The magnetically controlled memristor module, the multi-neuron integral-hyperbolic tangent operation module, and the multi-level pulse input module are electrically connected to form a nonlinear chaotic circuit that can output a chaotic voltage signal.

2. The chaotic circuit according to claim 1, characterized in that, The multi-neuron integral-hyperbolic tangent operation module includes three independent integral-hyperbolic tangent transform channels, each containing: At least one operational amplifier is used to perform inverting / non-inverting operations on the signal; At least one capacitor is used in conjunction with an operational amplifier to achieve the integration function; One hyperbolic tangent function unit is used to perform nonlinear transformation on the integrated signal.

3. The chaotic circuit according to claim 2, characterized in that, The specific circuit connection for each of the integral-hyperbolic tangent transform channels is as follows: The output terminal of the first operational amplifier is connected to the right end of the first resistor, the right end of the first capacitor, and the input terminal of the Tanh unit, respectively. The negative input terminal of the first operational amplifier is connected to the right end of at least two input resistors, the left end of the first resistor, and the left end of the first capacitor, respectively. The inverting input terminal of the second operational amplifier is connected to the output terminal of the Tanh unit through a second resistor, and a third resistor is connected in parallel between the inverting input terminal and the output terminal of the second operational amplifier. The output terminal of the second operational amplifier is the nonlinear transformation output signal of the channel. The non-inverting input terminals of both the first operational amplifier and the second operational amplifier are grounded.

4. The chaotic circuit according to claim 3, characterized in that, The multi-stage pulse input module includes: At least one switch is provided to control the on / off state of the input of multi-level pulse signals; At least one signal conditioning submodule is provided for generating pulse signals with different amplitudes and frequencies. The output of the signal conditioning submodule is connected to the input resistor of the integral-hyperbolic tangent transform channel via the switch.

5. The chaotic circuit according to claim 3, characterized in that, The magnetically controlled memristor module includes: The system includes an operational amplifier, a multiplier, resistors, and capacitors. The input terminal of the magnetically controlled memristor module is connected to the output signal of the integral-hyperbolic tangent transform channel, and the output terminal is connected to the input resistor of the integral-hyperbolic tangent transform channel to output a magnetically controlled adjustment signal.

6. The chaotic circuit according to claim 3, characterized in that, The state equation of the chaotic circuit is: ； in, These are the four voltage state variables of the circuit. As a reference resistor, As a reference capacitor, For input resistance, is the magnetic control coefficient.

7. The chaotic circuit according to claim 6, characterized in that, The system equations and circuit state variables of the chaotic circuit satisfy the following: the four state variables of the system equations These correspond to the four voltage state variables in the circuit state equation. .

8. The chaotic circuit according to any one of claims 3, characterized in that, The resistors used in the integral-hyperbolic tangent transform channel and the Tanh unit are precision adjustable potentiometers or precision fixed resistors; the operational amplifier is model TL082CP, and the multiplier in the magnetically controlled memristor module is model AD633.

9. The chaotic circuit according to claim 8, characterized in that, The capacitance value of the capacitor ranges from 50 to 200 nF; the resistance value of the reference resistor R ranges from 5 to 15 kΩ; and the input resistor... The resistance range is 0~5kΩ.

10. The chaotic circuit according to claim 4, characterized in that, The mathematical expression for the multi-level pulse signal is: ； in, For pulse amplitude, The pulse frequency, N The number of pulse stages.

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