Suppressing temporal and spatio-temporal chaos by multiple weak resonant excitations: Application to arrays of chaotic coupled oscillators

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2003 EDP Sciences
, , Citation R. Chacón et al 2003 EPL 63 667 DOI 10.1209/epl/i2003-00582-9

0295-5075/63/5/667

Abstract

We present theoretical findings concerning control of chaos for a wide and important class of dissipative nonautonomous systems capable of being studied by Melnikov's method and subjected to multiple harmonic chaos-inducing and chaos-controlling excitations. We demonstrate the effectiveness of the method in suppressing spatio-temporal chaos of chains of identical chaotic coupled oscillators—where coherent oscillations are achieved under localized control—through the example of coupled Duffing oscillators.

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10.1209/epl/i2003-00582-9