Self-Delayed Synchronization and analogies with long term memories

Year: 2003

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

Autors Affiliation: Ist. Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Florence, Italy; Departement of Physics, University of Florence, Italy; Istituto di Biofisica, CNR, Pisa, Italy; Institute for Nonlinear Science, University of California, San Diego, San Diego, CA 92093-0402, United States

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 (DSS), displays analogies with neurodynamic events which occur in the build-up of long term memories.

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KeyWords: Delayed self-synchronization (DSS); Homoclinic chaos; Space-time representation (STR); Synaptic reentry reinforcement (SRR), Carbon dioxide lasers; Chaos theory; Optical data storage; Perturbation techniques; Robustness (control systems); Signal processing; Synchronization, Laser pulses
DOI: 10.1117/12.525259