The Dynamics and Synchronization of a Fractional-Order System with Complex Variables
Joint Authors
Yang, Xiaoya
Liu, Xiaojun
Dang, Honggang
He, Wansheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A fractional-order system with complex variables is proposed.
Firstly, the dynamics of the system including symmetry, equilibrium points, chaotic attractors, and bifurcations with variation of system parameters and derivative order are studied.
The routes leading to chaos including the period-doubling and tangent bifurcations are obtained.
Then, based on the stability theory of fractional-order systems, the scheme of synchronization for the fractional-order complex system is presented.
By designing appropriate controllers, the synchronization for the system is realized.
Numerical simulations are carried out to demonstrate the effectiveness of the proposed scheme.
American Psychological Association (APA)
Yang, Xiaoya& Liu, Xiaojun& Dang, Honggang& He, Wansheng. 2014. The Dynamics and Synchronization of a Fractional-Order System with Complex Variables. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013498
Modern Language Association (MLA)
Yang, Xiaoya…[et al.]. The Dynamics and Synchronization of a Fractional-Order System with Complex Variables. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013498
American Medical Association (AMA)
Yang, Xiaoya& Liu, Xiaojun& Dang, Honggang& He, Wansheng. The Dynamics and Synchronization of a Fractional-Order System with Complex Variables. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013498
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013498