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A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system
作者姓名:王繁珍  陈增强  吴文娟  袁著祉
作者单位:Department of Automation,Nankai University,Tianjin300071,China
基金项目:Project supported by the National Nature Science Foundation of China (Grant No 60574036), the Specialized Research Fund for the Doctoral Program of China (Grant No 20050055013) and the Program for New Excellent Talents in University of China (NCET).
摘    要:This paper reports a new four-dimensional continuous autonomous hyperchaos generated from the Lorenz chaotic system by introducing a nonlinear state feedback controller. Some basic properties of the system are investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. By numerical simulating, this paper verifies that the four-dimensional system can evolve into periodic, quasi-periodic, chaotic and hyperchaotic behaviours. And the new dynamical system is hyperchaotic in a large region. In comparison with other known hyperchaos, the two positive Lyapunov exponents of the new system are relatively more larger. Thus it has more complex degree.第一段]

关 键 词:混沌  超混沌  四维混沌系统  Lyapunov指数  分支图
文章编号:1009-1963/2007/16(11)/3238-06
修稿时间:2007-01-03

A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system
Wang Fan-Zhen,Chen Zeng-Qiang,Wu Wen-Juan and Yuan Zhu-Zhi.A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system[J].Chinese Physics B,2007,16(11):3238-3243.
Authors:Wang Fan-Zhen  Chen Zeng-Qiang  Wu Wen-Juan and Yuan Zhu-Zhi
Institution:Department of Automation, Nankai University, Tianjin 300071, China
Abstract:
Keywords:chaos  hyperchaos  four dimension chaos system  Lyapunov exponent  bifurcation diagram
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