Sharp versus smooth synchronization transition of locally coupled oscillators

Year: 2008

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

Autors Affiliation: C.N.R.-Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Universita di Firenze, Italy
50019 Sesto Fiorentino, Italy

Abstract: We provide a general condition for the occurrence of a sudden transition to synchronization in an array of oscillators mutually coupled via the nearest neighbors. At the onset of synchronization a specific constraint must be fulfilled, precisely, the response time of a single system to signals from the adjacent sites must be smaller than the refractory period. We verify this criterion in some models for neuronal dynamics, namely, in excitable systems driven by noise as well as in chaotic oscillators.


Volume: 78 (1)      Pages from: 016202-1  to: 016202-4

KeyWords: Circuit oscillations; Oscillators (electronic); Oscillators (mechanical); Synchronization, Adjacent sites; American Physical Society (APS); Chaotic oscillators; Coupled oscillators; Excitable systems; Nearest Neighbor (NN); Neuronal dynamics; Refractory period; Response time; Synchronization transitions; Transition (Jel Classifications:E52 ,E41 ,E31), Chaotic systems
DOI: 10.1103/PhysRevE.78.016202

Citations: 3
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