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Snap-Back Repellers and Chaos in Time-delayed Chua's Circuit

Snap-Back Repellers and Chaos in Time-delayed Chua's Circuit The chaotic behavior of one-dimensional, 2-segment and 3-segment piecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marotto and the parameters conditions of existence for snap-back repeller are obtained. Simulation results are presented to show the snap-back repeller, some periodic points and attracting interval cycles with chaotic intervals. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Snap-Back Repellers and Chaos in Time-delayed Chua's Circuit

Acta Mathematicae Applicatae Sinica , Volume 21 (1) – Jan 1, 2005

Snap-Back Repellers and Chaos in Time-delayed Chua's Circuit

Acta Mathematicae Applicatae Sinica , Volume 21 (1) – Jan 1, 2005

Abstract

The chaotic behavior of one-dimensional, 2-segment and 3-segment piecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marotto and the parameters conditions of existence for snap-back repeller are obtained. Simulation results are presented to show the snap-back repeller, some periodic points and attracting interval cycles with chaotic intervals.

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-005-0210-6
Publisher site
See Article on Publisher Site

Abstract

The chaotic behavior of one-dimensional, 2-segment and 3-segment piecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marotto and the parameters conditions of existence for snap-back repeller are obtained. Simulation results are presented to show the snap-back repeller, some periodic points and attracting interval cycles with chaotic intervals.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2005

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