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Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family.
Furthermore, we investigate the global exponential attractive set of this system via the Lyapunov function method.
The rate of the trajectories going from the exterior of the globally exponential attractive set to the interior of the globally exponential attractive set is also obtained for all the positive parameters values a,b,c.
The innovation of this paper is that our approach to construct the ultimate bounded and globally exponential attractivity sets assumes that the corresponding sets depend on some artificial parameters (λ and m); that is, for the fixed parameters of the system, we have a series of sets depending on λ and m.
The results contain the known result as a special case for the fixed λ and m.
The efficiency of the scheme is shown numerically.
The theoretical results may find wide applications in chaos control and chaos synchronization.
American Psychological Association (APA)
Zhang, Fuchen. 2019. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1132758
Modern Language Association (MLA)
Zhang, Fuchen. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1132758
American Medical Association (AMA)
Zhang, Fuchen. Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions. Complexity. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1132758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132758