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A hybrid memristive six-dimensional chaotic system and circuit

A chaotic system and chaotic technology, applied in the transmission system, digital transmission system, secure communication through chaotic signals, etc.

Active Publication Date: 2018-02-09
ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Memristor-based chaotic systems are almost all devoted to the models of low-dimensional chaotic systems, rather than high-dimensional chaotic system models with more than five dimensions. The research and design of high-dimensional chaotic system models are still open and challenging topics.

Method used

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  • A hybrid memristive six-dimensional chaotic system and circuit
  • A hybrid memristive six-dimensional chaotic system and circuit
  • A hybrid memristive six-dimensional chaotic system and circuit

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Embodiment Construction

[0053] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0054] A hybrid memristive six-dimensional chaotic system, based on the dynamic equation of the three-dimensional simplest memristive chaotic system:

[0055]

[0056]

[0057]

[0058] Among them, x, y, and z are state variables, a, b, c, and d are system variable parameters, and the dynamic equation of the hybrid memristive six-dimensional chaotic system is constructed:

[0059]

[0060]

[0061]

[0062]

[0063]

[0064]

[0065]...

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Abstract

The invention relates to a hybrid memristor six-dimensional chaotic system and a circuit, aiming to solve a problem that a topological structure of a low-dimensional memristor chaotic system is simple. The hybrid memristor six-dimensional chaotic system is built on a three-dimensional simplest memristor chaotic system, MATLAB software is used to verify bifurcation and Lyapunov indicator property, and a complex dynamic behavior of the hybrid memristor six-dimensional chaotic system is analyzed. A Multisim simulation software-based hybrid memristor six-dimensional chaotic circuit is built by using an inverting integral circuit formed by a resistor, a capacitor, a multiplier and an amplifier, a multiplication circuit and an inverting amplification circuit, the dynamic behavior of the circuit is verified, and experimental results prove that simulation results of Matlab and Multisim are consistent. Due to increase of variables and parameters, the hybrid memristor six-dimensional chaotic system has a more complex topological structure and the dynamic behavior thereof is hard to predict, so that confidential communication is safer and more reliable.

Description

technical field [0001] The invention belongs to the technical field of chaotic circuit construction, and in particular relates to a hybrid memristive six-dimensional chaotic system and a circuit. Background technique [0002] A memristor is a passive two-terminal electronic component with nonlinear characteristics of variable resistance. It is a circuit device that represents the relationship between magnetic flux and charge. Due to the nonlinear nature of memristor elements, memristor elements for circuits are prone to chaotic signals and have been widely used. For example, Chua's memristive system replaces nonlinear diodes with memristors to build Chua's chaotic system, and studies its dynamic properties. Typical Chua's memristive system, improved Chua's memristive system, fractional Chua's memristive system and other Circuits designed with resistor elements, including Lorenz systems based on memristors, simple chaotic circuits based on memristors, etc. Memristor-based c...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 孙军伟王延峰王春秀黄春张勋才王妍王英聪方洁
Owner ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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