Title
Control and synchronize a novel hyperchaotic system
Abstract
The control and hybrid projective synchronization (HPS) strategies for a novel hyperchaotic system are investigated. Firstly, the novel hyperchaotic system is controlled to the unsteady equilibrium point or limit cycle via only one scalar controller which includes two state variables. Secondly, based on Lyapunov's direct method HPS between two novel hyperchaotic systems is studied. A new nonlinear feedback vector controller is designed to guarantee HPS, which can be simplified ulteriorly into a single scalar controller to achieve complete synchronization between two novel hyperchaotic systems. Finally, numerical simulations are given to verify the effectiveness of these strategies. The proposed methods have certain significances for reducing the cost and complexity for controller implementation.
Year
DOI
Venue
2010
10.1016/j.amc.2010.01.053
Applied Mathematics and Computation
Keywords
Field
DocType
lyapunov's direct method,hybrid projective synchronization,hyperchaos control,scalar controller,nonlinear feedback controller,routh–hurwitz criterion,routh-hurwitz criterion,lyapunov’s direct method,limit cycle,direct method,numerical simulation,equilibrium point
Lyapunov function,Control theory,Synchronization,Nonlinear system,Linear system,Control theory,Equilibrium point,Limit cycle,State variable,Mathematics
Journal
Volume
Issue
ISSN
216
1
Applied Mathematics and Computation
Citations 
PageRank 
References 
6
0.71
10
Authors
1
Name
Order
Citations
PageRank
Congxu Zhu17011.84