Chaos and bifurcation in the controlled chaotic system

In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system. Behavior of the controlled system with variable parameter is researched in detain. Moreover, the normal form theory is used to analyze...

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Bibliographic Details
Main Authors: Liu Yongjian, Huang Xiezhen, Zheng Jincun
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0105
Description
Summary:In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system. Behavior of the controlled system with variable parameter is researched in detain. Moreover, the normal form theory is used to analyze the direction and stability of bifurcating periodic solution.
ISSN:2391-5455