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Fractional order chaotic circuit containing smooth memristor

A chaotic circuit and fractional-order technology, which is applied in the field of chaotic signal generator design, can solve the problems that there is no method for constructing non-isomorphic fractional-order systems, and achieve the effects of wide order coverage, strong chaotic characteristics, and enhanced complexity

Active Publication Date: 2017-07-07
NANJING NORMAL UNIVERSITY
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Problems solved by technology

The above inventions all establish the same fractional order system, and there is no method for constructing the non-identical fractional order system at present.

Method used

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  • Fractional order chaotic circuit containing smooth memristor
  • Fractional order chaotic circuit containing smooth memristor
  • Fractional order chaotic circuit containing smooth memristor

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Embodiment Construction

[0024] The technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0025] Cooperate figure 1 As shown, the memristor involved in the present invention is a smooth magnetron memristor model, such as formula (1),

[0026]

[0027] Among them, q(φ) represents the magnetron memristor, φ represents the magnetic flux, a and b represent the parameters of the memristor model, and W(φ) represents the magnetron memristor.

[0028] The mathematical model involved in the present invention is as follows:

[0029]

[0030] In the formula, x, y, z, w are state variables, φ=w, q is the order. when q 1 =q 2 =q 3 =q 4 = 1, the system is an integer order chaotic system; when q 1 2 3 4 1 =q 2 =q 3 =1,q 4 <1.

[0031] Such as figure 2 As shown, a fractional order chaotic circuit containing a smooth memristor of the present invention is composed of first, second, third, fourth and fifth channel circuits, an...

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Abstract

The invention discloses a fractional order chaotic circuit containing a smooth memristor. The circuit is composed of a first channel circuit, a second channel circuit, a third channel circuit, a fourth channel circuit and a fifth channel circuit. The first channel circuit is composed of a first multiplier, a first phase inverter, a second phase inverter, a first resistor, a second resistor, a third resistor, a fourth resistor and a fifth resistor. The second channel circuit is composed of a second multiplier, a third phase inverter, a fourth phase inverter, a sixth resistor, a seventh resistor, an eighth resistor and a ninth resistor. The third channel circuit is composed of a fifth phase inverter, a sixth phase inverter, a tenth resistor, an eleventh resistor, a twelfth resistor and a thirteenth resistor. The fourth channel circuit is composed of a seventh phase inverter, an eighth phase inverter, a fourteenth resistor, a fifteenth resistor, a sixteenth resistor, a seventeenth resistor and an eighteenth resistor. The fifth channel circuit is composed of a ninth phase inverter and a nineteenth resistor. According to a system with the circuit structure, an output signal has a high chaotic characteristic.

Description

technical field [0001] The invention belongs to the design field of chaotic signal generators, and relates to a novel fractional-order chaotic circuit containing a smooth memristor, in particular to a construction method and circuit realization of a novel fractional-order memristor chaotic circuit. Background technique [0002] A memristor is a non-linear resistor with memory function, which is the fourth basic circuit element besides resistors, capacitors and inductors. Compared with traditional components, memristor has the characteristics of non-volatility, good scalability, memory, low energy consumption and simple physical structure. These characteristics make it widely used in artificial neural networks, signal processing, chaotic circuits, secure communications, etc. There are a wide range of applications in many fields. The memristive chaotic signal has stronger aperiodic and noise-like characteristics, and also has more complex dynamic characteristics. However, mo...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 闵富红彭光娅李闯王恩荣
Owner NANJING NORMAL UNIVERSITY
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