Synchronization of homoclinic chaos

Year: 2001

Authors: Allaria E., Arecchi F.T., Di Garbo A., Meucci R.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Univity of Firenze, Departement of Physics;
Biofisica CNR, Via Alfieri 1, Ghezzano Pisa, Italy

Abstract: Homoclinic chaos is characterized by regular geometric orbits occurring at erratic times. Phase synchronization at the average repetition frequency is achieved by a tiny periodic modulation of a control parameter. An experiment has been carried on a CO2 laser with feedback. set in a parameter range where homoclinic chaos occurs. Any offset of the modulation frequency From the average induces phase slips over long times. Perfect phase synchronization is recovered by slow changes of the modulation frequency based upon the sign and amplitude of the slip rate. Satellite synchronization regimes are also realized, with variable numbers of homoclinic spikes per period of the modulation.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 86 (5)      Pages from: 791  to: 794

KeyWords: Carbon dioxide lasers; Feedback; Frequency modulation; Mathematical models; Synchronization, Homoclinic chaos; Phase synchronization, Chaos theory
DOI: 10.1103/PhysRevLett.86.791

Citations: 119
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