Journal of University of Chinese Academy of Sciences >
A Unified Chaotic System and Its Research
Received date: 2002-11-26
Online published: 2003-01-18
Produces a new chaotic system, which is a critical system betweem the Lorenz andChen systems. At the same time, we introduce a unified chaotic system with single parameter,called Lorenz system families, which contains the Lorenz and the Chen systems as two dualsystems at the two extremes of its parameter spectrum, and acritical system as a transitionsystem. Based on the study of the chaos synchronization between linearly coupled multi-sys-tems, presents a new method mode decomposition for analyzing the stability of synchroni-zation solution, some sufficient conditions for synchronization are gained from rigorouslymathematical analysis for the first time. Finally, Introduces several new chaos generators,switching piecewise-linear controllers, which can create simultaneously n, or one with multi-ple merged basins of attraction chaotic attractors from a 3-D linear system within a wide rangeof parameter values.
L Jinhu , Chen Guanrong , Zhang Suochun . A Unified Chaotic System and Its Research[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(1) : 123 -129 . DOI: 10.7523/j.issn.2095-6134.2003.1.020
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