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Phys. Rev. E 65, 046237 (2002) [4 pages]

Delayed self-synchronization in homoclinic chaos

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F. T. Arecchi1,2, R. Meucci1, E. Allaria1, A. Di Garbo1,3, and L. S. Tsimring1,4
1Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Florence, Italy
2Department of Physics, University Of Firenze, Florence, Italy
3Istituto di Biofisica CNR, Pisa, Italy
4Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402

Received 13 August 2001; published 11 April 2002

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

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.046237
DOI:
10.1103/PhysRevE.65.046237
PACS:
05.45.Xt, 05.45.Vx, 42.65.Sf