Bifurcations and Synchronization of the Fractional-Order Bloch System
Joint Authors
Yang, Li-xin
Liu, Xiaojun
Dang, Honggang
Hong, Ling
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, bifurcations and synchronization of a fractional-order Bloch system are studied.
Firstly, the bifurcations with the variation of every order and the system parameter for the system are discussed.
The rich dynamics in the fractional-order Bloch system including chaos, period, limit cycles, period-doubling, and tangent bifurcations are found.
Furthermore, based on the stability theory of fractional-order systems, the adaptive synchronization for the system with unknown parameters is realized by designing appropriate controllers.
Numerical simulations are carried out to demonstrate the effectiveness and flexibility of the controllers.
American Psychological Association (APA)
Liu, Xiaojun& Hong, Ling& Dang, Honggang& Yang, Li-xin. 2017. Bifurcations and Synchronization of the Fractional-Order Bloch System. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151460
Modern Language Association (MLA)
Liu, Xiaojun…[et al.]. Bifurcations and Synchronization of the Fractional-Order Bloch System. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1151460
American Medical Association (AMA)
Liu, Xiaojun& Hong, Ling& Dang, Honggang& Yang, Li-xin. Bifurcations and Synchronization of the Fractional-Order Bloch System. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151460
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151460
