On the non-equivalence of Lorenz System and Chen System

Zhenting Hou; Ning Kang; Xiangxing Kong; Guanrong Chen; Guojun Yan

doi:10.1142/S0218127410025612

On the non-equivalence of Lorenz System and Chen System

Dynamical Systems 2015-05-13 v1 General Topology

Authors: Zhenting Hou , Ning Kang , Xiangxing Kong , Guanrong Chen , Guojun Yan

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Abstract

In this paper, we prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.

Keywords

lorenz system chen system smooth equivalence chaotic parameters dynamical systems

Cite

@article{arxiv.0904.3594,
  title  = {On the non-equivalence of Lorenz System and Chen System},
  author = {Zhenting Hou and Ning Kang and Xiangxing Kong and Guanrong Chen and Guojun Yan},
  journal= {arXiv preprint arXiv:0904.3594},
  year   = {2015}
}