具有多参数恒Lyapunov指数谱的新型统一混沌系统

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

Abstract

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.

Key words: unified chaotic system, invariable Lyapunov exponent spectrum, chaotic attractor

CLC Number:

O231.2

Qiuzhen WAN,Zhaoteng ZHOU. Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum[J]. Journal on Communications, 2020, 41(6): 202-213.

Figures/Tables 15

References 18

[1]	STEWART I . The Lorenz attractor exists[J]. Nature, 2000,406: 948-949.
[2]	CHEN G R , TETSUSHI U . Yet another chaotic attractor[J]. International Journal of Bifurcation and Chaos, 1999,9(7): 1465-1466.
[3]	LYU J H , CHEN G R . A new chaotic attractor COINED[J]. International Journal of Bifurcation and Chaos, 2002,12(3): 659-661.
[4]	LIU C X , LIU T , LIU L ,et al. A new chaotic attractor[J]. Chaos Solitons and Fractals, 2004,22(5): 1031-1038.
[5]	QI G Y , CHEN G R , DU S Z ,et al. Analysis of a new chaotic system[J]. Physica A:Statistical Mechanics and its Applications, 2005,352(2): 295-308.
[6]	ZHOU L , WANG C H , ZHOU L L . Generating four-wing hyperchaotic attractor and two-wing,three-wing,and four-wing chaotic attractors in 4D memristive system[J]. International Journal of Bifurcation and Chaos, 2017,27(2):1750027.
[7]	YU N , WANG Y W , LIU X K ,et al. 3D grid multi-wing chaotic attractors[J]. International Journal of Bifurcation and Chaos, 2018,28(4):1850045.
[8]	ZHANG C X , YU S M . A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control[J]. Chinese Physics B, 2016,25(5):050503.
[9]	毛学志, 徐勇, 刘建平 ,等. 基于反正切的网格混沌吸引子及其保密通信[J]. 通信学报, 2014,35(12): 106-115.
	MAO X Z , XU Y , LIU J P ,et al. Grid chaotic attractors based on arc tangent and its secure communication[J]. Journal on Communications, 2014,35(12): 106-115.
[10]	马均澎, 王丽丹, 段书凯 ,等. 拉伸式 3-D 多涡卷混沌系统的设计及其在保密通信中的应用[J]. 通信学报, 2016,37(12): 142-155.
	MA J P , WANG L D , DUAN S K ,et al. Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication[J]. Journal on Communications, 2016,37(12): 142-155.
[11]	WU H G , YE Y , BAO B C ,et al. Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system[J]. Chaos Solitons and Fractals, 2019,121: 178-185.
[12]	ZHOU L , WANG C H , ZHOU L L . A novel no-equilibrium hyperchaotic multi-wing system via introducing memristor[J]. International Journal of Circuit Theory and Applications, 2018,46(2): 84-98.
[13]	WANG H H , SUN K H , HE S B . Characteristic analysis and DSP realization of fractional-order simplified Lorenz system based on Adomain decomposition method[J]. International Journal of Bifurcation and Chaos, 2015,25(6):1550085.
[14]	李春彪, 王德纯 . 一种恒Lyapunov指数谱混沌吸引子及其Jerk电路实现[J]. 物理学报, 2009,58(2): 764-770.
	LI C B , WANG D C . An attractor with invariable Lyapunov exponent spectrum and its Jerk circuit implementation[J]. Acta Physica Sinica, 2009,58(2): 764-770.
[15]	李春彪, 徐克生, 胡文 . Sprott系统的恒Lyapunov指数谱混沌锁定及其反同步[J]. 物理学报, 2011,60(12): 74-84.
	LI C B , XU K S , HU W . Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization[J]. Acta Physica Sinica, 2011,60(12): 74-84.
[16]	周小勇 . 一个新混沌系统及其电路仿真[J]. 物理学报, 2012,61(3): 71-79.
	ZHOU X Y . A novel chaotic system and its circuit simulation[J]. ACTA PHYSICA SINICA, 2012,61(3): 71-79.
[17]	LI C L , LI H M , TONG Y N . Analysis of a novel three-dimensional chaotic system[J]. Optik - International Journal for Light and Electron Optics, 2013,124(13): 1516-1522.
[18]	闵富红, 王珠林, 曹弋 ,等. 基于双曲函数的双忆阻器混沌电路多稳态特性分析[J]. 电子学报, 2018,46(2): 486-494.
	MIN F H , WANG Z L CAO Y ,et al. Multistability Analysis of a Dual-Memristor Circuit Based on Hyperbolic Function[J]. Acta Electronica Sinica, 2018,46(2): 486-494.

Metrics

Recommended 0

No Suggested Reading articles found!

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

RichHTML

PDF

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 15

References 18

Related Articles 4

Metrics

Recommended 0

[1]	Guang-ming SUN,Jin-jie HUANG,Qiao LIU. Research on the chaotic group secret communication of the distributed ,large-scale and multi-signal system [J]. Journal on Communications, 2017, 38(3): 124-132.
[2]	Guang-ming SUN,Jin-jie HUANG. Study on chaos phase space synchronous rotation and distinguish switching security communication [J]. Journal on Communications, 2016, 37(10): 99-107.
[3]	. Grid chaotic attractors based on arc tangent and its secure communication [J]. Journal on Communications, 2014, 35(12): 13-115.
[4]	Xue-zhi MAO,Yong XU,Jian-ping LIU,Hui-quan MA. Grid chaotic attractors based on arc tangent and its secure communication [J]. Journal on Communications, 2014, 35(12): 106-115.