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Stability and bifurcation of pan chaotic system by using Routh-Hurwitz and Gardan methods

机译:Routh-Hurwitz和Gardan方法在泛混沌系统中的稳定性和分支

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摘要

In this paper, a new three dimensional pan chaotic system is reported. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including some basic dynamical properties, stability and Hopf bifurcation. The stability and Hopf bifurcation are investigated by Routh-Hurwitz method and Cardan method; stability analysis shows that both methods justified the same results. Finally, an illustrative example is given.
机译:本文报道了一种新的三维泛混沌系统。从理论和数值上分析了新系统的动力学行为,包括一些基本的动力学特性,稳定性和霍普夫分叉。用Routh-Hurwitz方法和Cardan方法研究稳定性和Hopf分支。稳定性分析表明,两种方法证明了相同的结果。最后,给出一个说明性的例子。

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