Chaos and bifurcation in the controlled chaotic system-Reference-Cited by-同舟云学术

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Chaos and bifurcation in the controlled chaotic system

Published:2018-11-03 Issue:1 Volume:16 Page:1255-1265
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Liu Yongjian¹,Huang Xiezhen²,Zheng Jincun¹

Affiliation:

1. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi, 537000, China

2. School of mathematics and statistics, Minnan Normal University, Zhangzhou, Fujian, 363000, China

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/math/16/1/article-p1255.xml

Reference28 articles.

1. Some simple chaotic flows;Sprott;Physical review,1994

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Jacobi Stability of Simple Chaotic Systems with One Lyapunov Stable Equilibrium;Journal of Computational and Nonlinear Dynamics;2021-04-22

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