摘要
构造了一类新含有指数项的连续自治混沌系统,该系统含有三个参数以及两个非线性项.对系统的平衡点的稳定性进行了分析,并利用Matlab分析系统的分岔图、Lyapunov指数,庞加莱截面,从而表明新混沌系统对系统参数的敏感性.研究结论证实了揭示系统具有丰富的动力学特性以及混沌系统的可实现性.
In this paper, a new continuous autonomous chaotic system with exponential term is constructed, which contains the three parameters and two nonlinear terms. The stability of equilibrium point is analyzed through the chaotic system. Analysis of bifurcation diagram , Lyapunov exponent and Poincare of the system by using Matlab, shows that the sensitivity of a new chaotic system to system parameters, and chaotic system is disclosed having a- bundant dynamics characteristic and realization.
出处
《嘉应学院学报》
2015年第2期38-43,共6页
Journal of Jiaying University
基金
陕西省教育厅科研计划项目(2013JK1068)
陕西省科技厅科技攻关项目(2009K08-40)
西京学院科研基金(XJ130117)
关键词
混沌
指数项
分岔图
chaotic
exponent term
bifurcation diagram
