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19 November 2003 Control and synchronization of homoclinic chaos and its implication for neurodynamics
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Proceedings Volume 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life; (2003) https://doi.org/10.1117/12.531048
Event: 19th Congress of the International Commission for Optics: Optics for the Quality of Life, 2002, Florence, Italy
Abstract
Homoclinic spike trains have been intensively investigated for single mode CO2 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 neighborhood 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 NIS (noise induced synchronization). Such a general scenario is compared with specific neurodynamic models; moreover its impact on communicating with chaos is discussed. (Summary only available)
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F. Tito Arecchi "Control and synchronization of homoclinic chaos and its implication for neurodynamics", Proc. SPIE 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life, (19 November 2003); https://doi.org/10.1117/12.531048
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