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International Journal of Computer Mathematics Volume 91, 2014 - Issue 6
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Section B

Synchronization of chaotic attractors with different equilibrium points

Cristina MorelESEO, 10 Bd. Jeanneteau, 49107Angers, FranceCorrespondence[email protected]
,
Radu VladManagement and Systems Engineering Department, Technical University of Cluj-Napoca, 103-105 Bd. Muncii, 400641Cluj-Napoca, Romania
,
Jean-Yves MorelElectrical Engineering and Computer Science Department, University of Angers, 4 Bd. Lavoisier, 49045Angers, France
&
Dorin PetreusApplied Electronics Department, Technical University of Cluj-Napoca, 26-28 St. G. Baritiu, 400027Cluj-Napoca, Romania
Pages 1255-1280 | Received 18 Dec 2012, Accepted 19 Jul 2013, Published online: 25 Sep 2013
 
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Abstract

This paper investigates the synchronization of coupled chaotic systems with many equilibrium points. By addition of an external switching piecewise-constant controller, the system changes to a new one with several independent chaotic attractors in the state space. Then, by addition of a nonlinear state feedback control, the chaos synchronization is presented. This method can be used in many couples of chaotic systems characterized by the same equilibrium point or by two different equilibrium points, even they are the same systems (Lorenz, Jerk, Van der Pol) or two chaotic systems with different structures (Lorenz modified).

2010 AMS Subject Classifications:

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