Multi-stability chaotic system with impulse function form Lyapunov exponent

A chaotic system and multi-stability technology, applied in the field of electronic communication research, can solve problems such as complex dynamic behavior, and achieve the effects of easy circuit implementation, complex dynamic characteristics, and simple system structure

Pending Publication Date: 2020-05-29
HARBIN ENG UNIV
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Problems solved by technology

Introducing memristors with various nonlinear characteristics into a classical chaotic circuit can easily construct a new chaotic circuit, and its dynamic behavior is more complex than that of the original chaotic system.

Method used

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  • Multi-stability chaotic system with impulse function form Lyapunov exponent
  • Multi-stability chaotic system with impulse function form Lyapunov exponent
  • Multi-stability chaotic system with impulse function form Lyapunov exponent

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Embodiment Construction

[0044] The present invention will be further described below in conjunction with the accompanying drawings.

[0045] The newly proposed multi-stable chaotic system has a Lyapunov exponent in the form of an impulse function, in addition to a discrete bifurcation diagram, which can generate an infinite number of coexisting attractors with two different structures and parallel distributions along the fourth axis.

[0046] A multi-stability chaotic system with Lyapunov exponent in the form of impulse function is introduced into a three-dimensional chaotic system to transform it into a new four-dimensional memristive chaotic system. The chaotic behavior of this system is studied by phase orbit diagram, Lyapunov index spectrum and bifurcation diagram analysis, and the analysis shows that the new system can produce two infinitely many coexisting attractors with different structures and parallel distribution along the fourth axis, and has impulse Functional Lyapunov exponents and disc...

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Abstract

The invention belongs to the field of electronic communication research. The invention relates to a multi-stability chaotic system with an impulse function form Lyapunov exponent. The system is composed of a four-dimensional memristor chaotic system formed by introducing a memristor into a three-dimensional chaotic system. The four-dimensional memristor chaotic system comprises an integral channelI, an integral channel II, an integral channel III and an integral channel IV, vx ports in the integral channels are connected together, vy ports in the integral channels are connected together, andvz ports in the integral channels are connected together. Compared with a common chaotic system, the novel system is simple in structure and easy in circuit implementation, has more complex dynamic characteristics, and has important theoretical physical significance and engineering application value for researching coexisting multiple attractors and hardware circuit implementation thereof.

Description

technical field [0001] The invention belongs to the field of electronic communication research, in particular to a multi-stable chaotic system with a Lyapunov exponent in the form of an impulse function. Background technique [0002] Chaos refers to the random behavior produced by deterministic systems. From a philosophical point of view, chaos is the unity of certainty and randomness. Chaotic signals have the characteristics of inherent randomness, initial value sensitivity, ergodicity, and boundedness, and can generate broadband signals similar to white noise. They are widely used in information encryption, secure communication, and chaotic radar. Chaos signal source is an important part of various chaos application systems, research and development of new chaos signal source is very important for the practical application of chaos theory. [0003] In 1971, Chinese scientist Professor Cai Shaotang predicted the existence of a fourth basic circuit component based on the c...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 黄丽莲姚文举朱耿雷李文亚史旭
Owner HARBIN ENG UNIV
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