Control and synchronization of homoclinic chaos and its implication for neurodynamics

Year: 2003

Authors: Arecchi F.T.

Autors Affiliation: Department of Physics, University of Firenze, Italy;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: Homoclinic spike trains have been intensively investigated for single mode C02 lasers; however, their occurrence has a more general significance insofar as this scenario fits the main aspects of action potentials in neurons. Stabilizing homoclinic trains has therefore a relevance for neural communication and synchronization, which seems to be the universal time code for perceptions. The core dynamics of homoclinic chaos is represented by the passage through a saddle point, in which neighbourhood the system susceptibility (response to an external perturbation) is very high and hence it is very easy to apply a control. A few aspects of regularization of homoclinic chaos are covered, such as, synchronization by an external pace-maker, DSS (delayed self-synchronization), bursting, and MS (noise induced synchronization). Such a general scenario is compared with specific neurodynamic models; moreover its impact on communicating with chaos is discussed.

Journal/Review: PROCEEDINGS OF SPIE

Volume: 4829      Pages from: 1100  to: 1101

KeyWords: neurodynamics; synchronization;
DOI: 10.1117/12.531048

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