Homoclinic chaos in a laser: synchronization and its implications in biological systems

Year: 2003

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

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

Abstract: Phase synchronization of a CO2 laser with feedback, exhibiting homoclinic chaos, is realized by a tiny periodic perturbation of a control parameter. The deviations of the modulation frequency from the optimal one induce phase slips, thus yielding an imperfect phase synchronization. Based on the information of these phase slips, the modulation frequency can be readjusted until the phase slips are eliminated. In this way, a control loop which detects the phase slips provides an adaptive tracking of the natural frequency of the dynamical system. Moreover, we have shown that the system

Journal/Review: OPTICS AND LASERS IN ENGINEERING

Volume: 39 (3)      Pages from: 293  to: 304

More Information: We acknowledge partial support from the European Contract No. HPRN-CT-2000-00158. A.D.G. is supported by the European Contract No. PSS 1043.
KeyWords: Chaos theory; Demodulation; Electronic circuit tracking; Feedback; Frequency modulation; Natural frequencies; Perturbation techniques; Synchronization, Biological systems; Phase slips, Carbon dioxide lasers
DOI: 10.1016/S0143-8166(01)00124-5

Citations: 12
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