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Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2)
Joint Authors
Al-khedhairi, A.
Ghazel, M.
Askar, S. S.
Elsadany, A. A.
Matouk, A. E.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper demonstrates dynamics, chaos control, and synchronization in Samardzija-Greller population model with fractional order between zero and two.
The fractional-order case is shown to exhibit rich variety of nonlinear dynamics.
Lyapunov exponents are calculated to confirm the existence of wide range of chaotic dynamics in this system.
Chaos control in this model is achieved via a novel linear control technique with the fractional order lying in (1, 2).
Moreover, a linear feedback control method is used to control the fractional-order model to its steady states when 0<α<2.
In addition, the obtained results illustrate the role of fractional parameter on controlling chaos in this model.
Furthermore, nonlinear feedback synchronization scheme is also employed to illustrate that the fractional parameter has a stabilizing role on the synchronization process in this system.
The analytical results are confirmed by numerical simulations.
American Psychological Association (APA)
Al-khedhairi, A.& Askar, S. S.& Matouk, A. E.& Elsadany, A. A.& Ghazel, M.. 2018. Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2). Complexity،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1135462
Modern Language Association (MLA)
Al-khedhairi, A.…[et al.]. Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2). Complexity No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1135462
American Medical Association (AMA)
Al-khedhairi, A.& Askar, S. S.& Matouk, A. E.& Elsadany, A. A.& Ghazel, M.. Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2). Complexity. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1135462
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135462