A Generation of Strong Hyperchaos from A Three-dimensional Autonomous Smooth Chaotic System

摘要：

This paper proposes a new four-dimensional hyperchaofic system constructed based on a modified three-dimensional chaotic system by adding a simple nonlinear state feedback controller. The complex dynamical behaviors of this hyperchaotic system are further investigated, including basic properties, Lyapunov exponents spectrum, bifurcation analysis, Poincare sections. The system can evolve into periodic, quasiperiodic, chaotic and hyperchaotic attractors, moreover, when this new system is hyperchaotic, its two positive Lyapunov exponents are much larger than those of hyperchaotic systems already reported. Under appropriate parameter conditions, the largest Lyapunov exponent can reach 26, and the second positive Lyapunov exponent can reach 7.

关键词： Chaos Hyperchaos Lyapunov exponent Bifurcation analysis Poincare sections

作者: Wenjuan Wu Zengqiang Chen Zhuzhi Yuan

作者单位: Department of Automation, Nankai University, Tianjin 300071, China

会议类型: 国际会议

会议名称: 第四届亚太地区混沌控制与同步会议(The Fourth Asia-Pacific Workshop on Chaos Control and Synchronization)

会议地点: 哈尔滨

会议语种:英文

页码: 32-39

在线出版日期: 2007-08-24（万方平台首次上网日期，不代表论文的发表时间）