Dynamical analysis of a new 3D nonlinear chaotic system(新三维非线性混沌系统的动力学特性分析)

ZHANGYong(张勇); HUYongcai(胡永才); SHUYonglu(舒永录)

doi:10.3785/j.issn.1008-9497.2016.04.004

Zhejiang Daxue xuebao. Lixue ban (Jul 2016)

Dynamical analysis of a new 3D nonlinear chaotic system(新三维非线性混沌系统的动力学特性分析)

ZHANGYong(张勇),
HUYongcai(胡永才),
SHUYonglu(舒永录)

Affiliations

ZHANGYong(张勇): ORCiD; 1.Department of Basic Teaching, Henan Polytechnic Institute, Nanyang 473000, Henan Province, China( 1.河南工业职业技术学院基础教学部，河南　南阳　473000)
HUYongcai(胡永才): ORCiD; 1.Department of Basic Teaching, Henan Polytechnic Institute, Nanyang 473000, Henan Province, China( 1.河南工业职业技术学院基础教学部，河南　南阳　473000)
SHUYonglu(舒永录): 2.College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China( 2.重庆大学数学与统计学院，重庆　401331)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2016.04.004
Journal volume & issue: Vol. 43, no. 4
pp. 401 – 405

Abstract

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基于动力系统的理论和方法，结合理论分析和Matlab仿真，利用微分方程比较定理和多元函数的Lagrange 乘数法，研究了一类新混沌系统的最终界和全局指数吸引集.对于系统的任意参数，分别得到了该混沌系统最终界和全局吸引集统一的数学表达式.最后，Matlab模拟验证了理论结果的正确性.为该系统的混沌控制、混沌同步、混沌吸引子维数的估计提供了理论依据.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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