Title
Research on the Expected Synchronization of Autonomous System.
Abstract
The dynamic behavior of fractional order systems have received increasing attention in recent years, In this paper the reliable phase synchronization problem between two coupled chaotic fractional order system with varying time is constructed, An active delay expected synchronization between two coupled chaotic fractional order systems and hyperchaotic fractional order systems is analyzed by utilizing Laplace transform. Furthermore, we investigated the necessary conditions for fractional order Rossler systems to exhibit chaotic attractor. Then, based on the stability results of fractional order systems, sufficient conditions for phase synchronization of the fractional models of Rossler systems and hyperchaotic system are derived. The synchronization scheme that is simple and global enabled synchronization of fractional order chaotic systems to be achieved, Theory analysis and corresponding numerical simulations results show that the chaos in such fractional order system with varying time delay can be synchronized and the method is effective and feasible. © 2013 ACADEMY PUBLISHER.
Year
DOI
Venue
2013
10.4304/jsw.8.1.85-92
JSW
Keywords
Field
DocType
autonomous system,fractional order,high dimension,the expected synchronization
Attractor,Synchronization,Mathematical optimization,Laplace transform,Computer science,Control theory,Phase synchronization,Fractional-order system,Autonomous system (mathematics),Chaotic,Synchronization of chaos,Distributed computing
Journal
Volume
Issue
Citations 
8
1
1
PageRank 
References 
Authors
0.40
3
4
Name
Order
Citations
PageRank
Wenxian Xiao1113.52
Zhen Liu219336.23
Wenlong Wan3103.46
Xiali Zhao410.73