Spike synchronization of chaotic oscillators as a phase transition

Year: 2009

Authors: Ciszak M., Montina A., Arecchi F.T.

Autors Affiliation: C.N.R., Istituto Nazionale di Ottica Applicata, L.go E. Fermi 6, 50125 Florence, Italy; Dipartimento di Fisica, Università di Firenze, Via Sansone 1, 50019 Sesto Fiorentino (FI), Italy

Abstract: We study how a locally coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of synchronization is called a defect. The system displays sudden spontaneous defect disappearance at a critical coupling strength suggesting an existence of a phase transition. Below critical coupling, the system reaches order at a definite amplitude of an external input; this order persists for a fixed time slot. Thus, the array behaves as an excitable-like system, even though the single element lacks such a property.

Journal/Review: COGNITIVE PROCESSING

Volume: 10      Pages from: S33  to: S39

More Information: This research was supported by a Marie Curie Intra-European Fellowships within the 6th European Community Framework Programme and by Ente Cassa di Risparmio di Firenze under the Project Dinamiche cerebrali caotiche.
KeyWords: Chaos; Collective excitability; Feature binding; Neuronal dynamics; Phase transition; article; chaotic dynamics; nerve cell; nerve excitability; oscillator; priority journal; spike wave, Action Potentials; Animals; Models, Neurological; Nerve Net; Neurons; Nonlinear Dynamics; Oscillometry; Time Factors
DOI: 10.1007/s10339-008-0235-x

Citations: 3
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