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Vol: 53(67) No: 2 / June 2008        

Independent Chaotic Attractors in the State Space of Nonlinear Systems
Cristina Morel
Ecole Supérieure d’Électronique de l’Ouest, 4 rue Merlet de la Boulaye, 49009 Angers, France, phone: (33) 0241866743, e-mail: cristina.morel@eseo.fr, web: http://www.area.ac.co/~morel
Radu Vlad
Technical University of Cluj-Napoca, 103-105, Bd. Muncii, 400641 Cluj-Napoca, Romania, e-mail: radu.constantin.vlad@mis.utcluj.ro, web: http://www.major.com/~vlad
Eric Chauveau
Ecole Supérieure d’Électronique de l’Ouest, 4 rue Merlet de la Boulaye, 49009 Angers, France, e-mail: eric.chauveau@eseo.fr, web: http://www.area.ac.co/~chauveau


Keywords: anticontrol of chaos, independent chaotic attractors, initial conditions, switching piecewise-constant controller

Abstract
– The present paper introduces a new techniques to generate several independent chaotic attractors by desingning a switching piecewise-constant controller in continuous-time systems. This controller can create chaos using an anticontrol of chaos feedback. It is shown that nonlinear continuous-time systems have several attractors, depending on initial conditions. We demonstrate here that the state space equidistant repartition of these attractors is on a precise zone of a precise curve, that depends on the parameters of the system. We determine the state space domains where the attractors are generated from different initial conditions. Finally, several examples are given to verify the proposed methodology.

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