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Neural Computing and Applications
Published in: Neural Computing and Applications 5/2014

01-10-2014 | Original Article

Global attractive sets of a novel bounded chaotic system

Authors: Fuchen Zhang, Guangyun Zhang, Da Lin, Xiang-Kai Sun

Published in: Neural Computing and Applications | Issue 5/2014

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Abstract

This paper is concerned with the boundedness of solutions of a new chaotic system. For this system, the global exponential attractive set and positively invariant set are derived based on generalized Lyapunov function theory and the extremum principle of function. Furthermore, we can conclude that the rate of the trajectories of the system going from the exterior of the attractive set Φ λ to the interior of the attractive set Φ λ is an exponential rate. The rate of the trajectories is also obtained. Numerical simulations are presented to show the effectiveness of the proposed scheme.
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Metadata
Title
Global attractive sets of a novel bounded chaotic system
Authors
Fuchen Zhang
Guangyun Zhang
Da Lin
Xiang-Kai Sun
Publication date
01-10-2014
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 5/2014
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1601-5

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