Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control
Joint Authors
Sun, Kehui
Wang, Huihai
He, Shaobo
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Numerical analysis of fractional-order chaotic systems is a hot topic of recent years.
The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board.
Complex dynamics of the fractional-order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams.
It shows that the system has rich dynamics with system parameters and the derivative order q.
Moreover, tracking synchronization controllers are theoretically designed and numerically investigated.
The system can track different signals including chaotic signals from the fractional-order master system and constant signals.
It lays a foundation for the application of the fractional-order Rössler system.
American Psychological Association (APA)
Wang, Huihai& He, Shaobo& Sun, Kehui. 2018. Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control. Complexity،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1133929
Modern Language Association (MLA)
Wang, Huihai…[et al.]. Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control. Complexity No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1133929
American Medical Association (AMA)
Wang, Huihai& He, Shaobo& Sun, Kehui. Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control. Complexity. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1133929
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133929