Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium
Joint Authors
Li, Chun-Lai
Yigang, He
Yang, Xuan-Bing
Liu, Chang-Qing
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper reports an autonomous dynamical system, and it finds that one nonhyperbolic zero equilibrium and two hyperbolic nonzero equilibria coexist in this system.
Thus, it is difficult to demonstrate the existence of chaos by Šil’nikov theorem.
Consequently, the topological horseshoe theory is adopted to rigorously prove the chaotic behaviors of the system in the phase space of Poincaré map.
Then, a single control scheme is designed to stabilize the dynamical system to its zero-equilibrium point.
Besides, to verify the theoretical analyses physically, the attractor and stabilization scheme are further realized via DSP-based technique.
American Psychological Association (APA)
Yang, Xuan-Bing& Yigang, He& Li, Chun-Lai& Liu, Chang-Qing. 2020. Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1143358
Modern Language Association (MLA)
Yang, Xuan-Bing…[et al.]. Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1143358
American Medical Association (AMA)
Yang, Xuan-Bing& Yigang, He& Li, Chun-Lai& Liu, Chang-Qing. Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1143358
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143358