摘要
提出了一个含立方项的新三维连续混沌系统.分析了该系统平衡点的稳定性.运用分岔图、Lyapunov指数谱、相平面图等数值仿真研究了系统的动力学行为.对不同的参数值条件,系统将呈现出单稳定性、单周期、单混沌状态.对不同的参数值和初值,系统存在双稳定性、双周期以及双混沌吸引子现象.
This paper presents a new three-dimensional continuous chaotic system with cubic nonlinearity.The stability of equilibrium point of the system is analyzed.By using numerical simulations such as bifurcation diagram,Lyapunov exponent spectrum and phase portrait,the dynamical behaviors of the system are investigated.For different parameter values,the system performs mono-stability,mono-cycle and single chaotic state.For different parameter values and initial values,the system performs bi-stability,bi-periodicity and two chaotic attractors.
作者
赵慧
赖强
ZHAO Hui LAI Qiang(School of Electronic ＆ Information, Nanchang Institute of Technology, Nanchang 330044 College of Communication and Electronic, Jiangxi Science ~ Technology Normal University, Nanchang, 330013 School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013)
出处
《华中师范大学学报（自然科学版）》
CAS
北大核心
2017年第2期155-161,共7页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(61603137)
