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Dynamic Analysis for a Fractional-Order Autonomous Chaotic System
Joint Authors
Chu, Yandong
Nan, Juan
Luo, Hongwei
Du, Wenju
Jiangang, Zhang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We introduce a discretization process to discretize a modified fractional-order optically injected semiconductor lasers model and investigate its dynamical behaviors.
More precisely, a sufficient condition for the existence and uniqueness of the solution is obtained, and the necessary and sufficient conditions of stability of the discrete system are investigated.
The results show that the system’s fractional parameter has an effect on the stability of the discrete system, and the system has rich dynamic characteristics such as Hopf bifurcation, attractor crisis, and chaotic attractors.
American Psychological Association (APA)
Jiangang, Zhang& Nan, Juan& Du, Wenju& Chu, Yandong& Luo, Hongwei. 2016. Dynamic Analysis for a Fractional-Order Autonomous Chaotic System. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103622
Modern Language Association (MLA)
Jiangang, Zhang…[et al.]. Dynamic Analysis for a Fractional-Order Autonomous Chaotic System. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1103622
American Medical Association (AMA)
Jiangang, Zhang& Nan, Juan& Du, Wenju& Chu, Yandong& Luo, Hongwei. Dynamic Analysis for a Fractional-Order Autonomous Chaotic System. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103622
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103622