Volume 63, Number 5, September 2003
|Page(s)||667 - 673|
|Published online||01 November 2003|
Suppressing temporal and spatio-temporal chaos by multiple weak resonant excitations: Application to arrays of chaotic coupled oscillators
Departamento de Electrónica e Ingeniería Electromecánica Escuela de Ingenierías Industriales, Universidad de Extremadura E-06071 Badajoz, Spain
2 Max-Planck-Institute for Mathematics in Sciences Inselstr. 22-26, D-04103 Leipzig, Germany
Accepted: 20 June 2003
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.
PACS: 05.45.Gg – Control of chaos, applications of chaos / 05.45.Xt – Synchronization; coupled oscillators / 05.45.Pq – Numerical simulations of chaotic systems
© EDP Sciences, 2003
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