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Article Dans Une Revue Chaos, Solitons & Fractals Année : 2005

Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits

Résumé

The present paper introduces a new technique to generate several independent chaotic attractors by designing 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 that the state space equidistant repartition of these attractors is on a precise curve, that depends of the system parameters. A mathematical formula giving the distance between the attractors is then deduced. Finally, several examples are given to verify the proposed methodology.
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hal-01714888 , version 1 (22-02-2018)

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Cristina Morel, Marc Bourcerie, François Chapeau-Blondeau. Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits. Chaos, Solitons & Fractals, 2005, 26 (2), pp.541-549. ⟨10.1016/j.chaos.2005.01.017⟩. ⟨hal-01714888⟩
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