Transient statistics in stabilizing periodic orbits

Year: 1995

Authors: Meucci R., Gadomski W., Ciofini M., Arecchi F.T.

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

Abstract: The statistics of chaotic and periodic transient time intervals preceding the stabilization of a given periodic orbit have been experimentally studied in a CO2 laser with modulated losses, subjected to a small subharmonic perturbation. As predicted by the theory, an exponential tail has been found in the probability distribution of chaotic transients. Furthermore, a fine periodic structure in the distributions of the periodic transients, resulting from the interaction of the control signal and the local structure of the chaotic attractor, has been revealed.

Journal/Review: PHYSICAL REVIEW E

Volume: 52 (5)      Pages from: 4676  to: 4680

KeyWords: Tracking unstable orbits; Chaotic attractors; Laser; Perturbations; System
DOI: 10.1103/PhysRevE.52.4676

Citations: 8
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