Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization
Joint Authors
Wang, Jiezhi
Zhang, Qing
Li, Hang
Chen, Zengqiang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Two ellipsoidal ultimate boundary regions of a special three-dimensional (3D) chaotic system are proposed.
To this chaotic system, the linear coefficient of the i th state variable in the i th state equation has the same sign; it also has two one-order terms and one quadratic cross-product term in each equation.
A numerical solution and an analytical expression of the ultimate bounds are received.
To get the analytical expression of the ultimate boundary region, a new result of one maximum optimization question is proved.
The corresponding ultimate boundary regions are demonstrated through numerical simulations.
Utilizing the bounds obtained, a linear controller is proposed to achieve the complete chaos synchronization.
Numerical simulation exhibits the feasibility of the designed scheme.
American Psychological Association (APA)
Wang, Jiezhi& Zhang, Qing& Chen, Zengqiang& Li, Hang. 2014. Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033993
Modern Language Association (MLA)
Wang, Jiezhi…[et al.]. Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033993
American Medical Association (AMA)
Wang, Jiezhi& Zhang, Qing& Chen, Zengqiang& Li, Hang. Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033993