Attractor selection in chaotic dynamics

Year: 2005

Authors: Meucci R., Allaria E., Salvadori F., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze;
Department of Physics, Università di Firenze, Italy

Abstract: For different settings of a control parameter, a chaotic system can go from a region with two separate stable attractors (generalized bistability) to a crisis where a chaotic attractor expands, colliding with an unstable orbit. In the bistable regime jumps between independent attractors are mediated by external perturbations; above the crisis, the dynamics includes visits to regions formerly belonging to the unstable orbits and this appears as random bursts of amplitude jumps. We introduce a control method which suppresses the jumps in both cases by filtering the specific frequency content of one of the two dynamical objects. The method is tested both in a model and in a real experiment with a CO2 laser.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 95 (18)      Pages from: 184101-1  to: 184101-4

KeyWords: Chaotic attractor; Chaotic dynamics; Frequency content; Random bursts, Mathematical models; Molecular dynamics; Natural frequencies; Perturbation techniques; Random processes, Chaos theory
DOI: 10.1103/PhysRevLett.95.184101

Citations: 21
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