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一个新的三维混沌系统 被引量:2

A new three-dimensional chaotic system
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摘要 构造了一个新的三维连续混沌系统,该系统含有4个参数3个非线性乘积项.通过理论推导、数值仿真,并利用Lyapunov指数谱和Poincaré映像分析了系统的动力学性质,探讨了改变不同参数时系统动力学行为的变化,验证了系统丰富的混沌特性. A new three-dimensional chaotic system is introduced.The new system contains three nonlinear cross-product terms and four system parameters.The basic dynamic properties of the new system are investigated via theoretical analysis,numerical simulation,Lyapunov exponent spectrum and Poincaré reflection.The different dynamic behaviors of the new system are analyzed when each system parameter is changed.Complicated chaotic behaviors of the system were verified.
出处 《郑州轻工业学院学报(自然科学版)》 CAS 2010年第5期15-17,20,共4页 Journal of Zhengzhou University of Light Industry:Natural Science
关键词 新混沌系统 LYAPUNOV指数谱 Poincaré映像 new chaotic system Lyapunov exponents spectrum Poincaré reflection
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