华中师范大学学报（自然科学版）2013，Vol.47Issue(3)：312-315,4.
一个含指数项的新自治混沌系统的动力学分析
Dynamical analysis of a new autonomous chaotic system with exponential term
摘要
Abstract
This paper constructs a new simple three-dimensional continuous autonomous chaotic system which has two parameters and two nonlinear terms.The phase portraits,time history,the power spectrum,the Poincaré mapping,the Lyapunov exponents and fractal dimension of the system operating on chaotic state are given by Matlab software.The influence of system parameters on the chaotic system is discussed through Lyapunov exponents spectrum and bifurcation diagram.The results confirm that the system is a new chaotic system and reveal the system has rich dynamical behaviors.关键词
指数项/分岔/Lyapunov指数谱/混沌Key words
exponential term/ bifurcation/ Lyapunov exponent spectrum/ chaos分类
自科综合引用本文复制引用
高智中..一个含指数项的新自治混沌系统的动力学分析[J].华中师范大学学报（自然科学版）,2013,47(3):312-315,4.基金项目
安徽省高校省级优秀青年人才基金项目(2012SQRL146). （2012SQRL146）
