Delay Feedback Control of the Lorenz-Like System
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We choose the delay as a variable parameter and investigate the Lorentz-like system with delayed feedback by using Hopf bifurcation theory and functional differential equations.
The local stability of the positive equilibrium and the existence of Hopf bifurcations are obtained.
After that the direction of Hopf bifurcation and stability of periodic solutions bifurcating from equilibrium is determined by using the normal form theory and center manifold theorem.
In the end, some numerical simulations are employed to validate the theoretical analysis.
The results show that the purpose of controlling chaos can be achieved by adjusting appropriate feedback effect strength and delay parameters.
The applied delay feedback control method in this paper is general and can be applied to other nonlinear chaotic systems.
American Psychological Association (APA)
Chen, Qin& Gao, Jianguo. 2018. Delay Feedback Control of the Lorenz-Like System. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1205615
Modern Language Association (MLA)
Chen, Qin& Gao, Jianguo. Delay Feedback Control of the Lorenz-Like System. Mathematical Problems in Engineering No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1205615
American Medical Association (AMA)
Chen, Qin& Gao, Jianguo. Delay Feedback Control of the Lorenz-Like System. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1205615
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205615