华中师范大学学报（自然科学版）2017，Vol.51Issue(2)：155-161,7.
新三维混沌系统的复杂动力学分析
Complex dynamics of a new three-dimensional chaotic system
摘要
Abstract
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.关键词
混沌系统/平衡点/分岔图/Lyapunov指数Key words
chaotic system/equilibrium point/bifurcation diagram/Lyapunov exponent分类
数理科学引用本文复制引用
赵慧,赖强..新三维混沌系统的复杂动力学分析[J].华中师范大学学报（自然科学版）,2017,51(2):155-161,7.基金项目
国家自然科学基金项目(61603137). （61603137）
