摘要
通过一个三维线性系统与两个一维线性系统的纠缠构建了一类五维混沌系统,运用Matlab仿真分析了该系统的分岔图、LE指数、复杂度SE以及复杂的C0等方面的基本动力学行为,从而阐述了参数对纠缠混沌系统的影响;同时,运用双参数变化下的复杂度SE,研究了系统的分岔空间的复杂度,同时阐明了周期与混沌存在的关系,从而进一步说明了纠缠混沌系统的特性。
In this paper,a class of five-dimensional chaotic system is constructed by entanglement of a three-dimensional linear system and two one-dimensional linear systems.The bifurcation diagram,LE index,complexity SE and complex C0 of the system are simulated and analyzed by MATLAB simulation,and the influence of the parameters on the chaotic system is discussed.At the same time,the complexity of the bifurcation space of the system is studied by using the complexity of the double parameters,and the relationship between the period and chaos is also discussed,which further illustrates the characteristics of the entangled chaotic system.
作者
付海燕
雷腾飞
臧红岩
张瑜
沈敏
FU Haiyan;LEI Tengfei;ZANG Hongyan;ZHANG Yu;SHEN Min(School of Electrial and Imformation Engineering,Qilu Institute of Technology,Jinan 250200,China)
出处
《东莞理工学院学报》
2018年第1期18-25,共8页
Journal of Dongguan University of Technology
基金
山东省自然科学(ZR2017PA008)
齐鲁理工学院科技计划项目(07qlk008)
关键词
纠缠混沌系统
LE指数
复杂度
双参数
entanglement chaotic system
Lyapunov exponent
complexity
double parameter