Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits

Cristina Morel, Marc Bourcerie and François Chapeau-Blondeau

Chaos, Solitons & Fractals, 2005, vol. 26, issue 2, 541-549

Abstract: 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.

Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:2:p:541-549

DOI: 10.1016/j.chaos.2005.01.017

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