Delayed self-synchronization in homoclinic chaos

Year: 2002

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

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Florence, Italy; Department of Physics, University Of Firenze, Florence, Italy; Istituto di Biofisica CNR, Pisa, Italy; Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402

Abstract: The chaotic spike train of a homoclinic dynamical system is self-synchronized by applying a time-delayed correction proportional to the laser output intensity. Due to the sensitive nature of the homoclinic chaos to external perturbations, stabilization of very long-periodic orbits is possible. On these orbits, the dynamics appears chaotic over a finite time, but then it repeats with a recurrence time that is slightly longer than the delay time. The effect, called delayed self-synchronization, displays analogies with neurodynamic events that occur in the buildup of long-term memories. ©2002 The American Physical Society.

Journal/Review: PHYSICAL REVIEW E

Volume: 65 (4)      Pages from: 046237-1  to: 046237-4

KeyWords: Chaotic spike train; Homoclinic chaos; Space-time representation (STR); Taylor expansion, Carbon dioxide lasers; Electrooptical devices; Feedback; Laser applications; Modulators; Perturbation techniques; Synchronization, Chaos theory
DOI: 10.1103/PhysRevE.65.046237

Citations: 40
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