Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control
Joint Authors
Han, Chunyan
Yuan, Fang
Wang, Xiaoyuan
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on the heteroclinic Shil’nikov theorem and switching control, a kind of multipiecewise linear chaotic system is constructed in this paper.
Firstly, two fundamental linear systems are constructed via linearization of a chaotic system at its two equilibrium points.
Secondly, a two-piecewise linear chaotic system which satisfies the Shil’nikov theorem is generated by constructing heteroclinic loop between equilibrium points of the two fundamental systems by switching control.
Finally, another multipiecewise linear chaotic system that also satisfies the Shil’nikov theorem is obtained via alternate translation of the two fundamental linear systems and heteroclinic loop construction of adjacent equilibria for the multipiecewise linear system.
Some basic dynamical characteristics, including divergence, Lyapunov exponents, and bifurcation diagrams of the constructed systems, are analyzed.
Meanwhile, computer simulation and circuit design are used for the proposed chaotic systems, and they are demonstrated to be effective for the method of chaos anticontrol.
American Psychological Association (APA)
Han, Chunyan& Yuan, Fang& Wang, Xiaoyuan. 2015. Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control. Journal of Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068058
Modern Language Association (MLA)
Han, Chunyan…[et al.]. Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control. Journal of Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1068058
American Medical Association (AMA)
Han, Chunyan& Yuan, Fang& Wang, Xiaoyuan. Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control. Journal of Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068058
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068058