Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum

Qiuzhen WAN; Zhaoteng ZHOU

doi:10.11959/j.issn.1000-436x.2020080

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Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum

Correspondences | 更新时间：2024-06-05

- Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum
- Journal on Communications Vol. 41, Issue 6, Pages: 202-213(2020)
- 作者机构：
  
  1. 湖南师范大学信息科学与工程学院，湖南长沙 410081
  2. 智能计算与语言信息处理湖南省重点实验室，湖南长沙 410081
- 作者简介：
- 基金信息：
  
  The National Natural Science Foundation of China(61901169);The Natural Science Foundation of Hunan Province(2019JJ40190);National Students' Platform for Innovation and Entrepreneurship Training Program(201910542049)
- DOI：10.11959/j.issn.1000-436x.2020080
  CLC： O231.2
- Online First：2020-06，
  
  Published：25 June 2020
- 稿件说明：
移动端阅览
Qiuzhen WAN, Zhaoteng ZHOU. Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum[J]. Journal on Communications, 2020, 41(6): 202-213.
DOI：

Qiuzhen WAN, Zhaoteng ZHOU. Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum[J]. Journal on Communications, 2020, 41(6): 202-213. DOI： 10.11959/j.issn.1000-436x.2020080.

摘要

基于传统的 Qi 混沌系统，通过增加控制参数和改变非线性项相结合的方法构造了一种具有复杂混沌特性的新型统一混沌系统。首先，分析了所提系统的动力学行为，数值仿真了相图、时域波形图、Poincare 截面图和功率谱图；其次，讨论了系统参数变化时 Lyapunov 指数谱、分岔图和混沌信号幅度对整个系统的影响，分析表明，所提统一混沌系统能产生4种新的具有多参数恒Lyapunov指数谱特性的双翼混沌吸引子，并存在多种全局和局部的非线性调幅参数；再次，以所提系统的第一种混沌吸引子为例，引入2种新的非线性函数，实现了网格多翼的扩展；最后，搭建所提统一混沌系统的硬件电路，实验观察到4种新混沌吸引子，与数值仿真结果一致，验证了所提系统的可行性。

Abstract

Based on the traditional Qi chaotic system

a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly

basic dynamical characteristics of chaotic system were analyzed

and phase portrait

time domain waveform diagram

Poincare mapping and power spectrum diagram were numerically simulated.Secondly

system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum

bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile

there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly

taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions

the expansion of grid multi-wing attractor was realized.Finally

the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally

which is consistent with numerical simulation results and verified the feasibility of the proposed system.

关键词

Keywords

references

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