Anomalous Synchronization of Integrate-and-Fire Oscillators with Global Coupling | Zendy

Masayuki Ataka | Zendy; Takao Ohta | Zendy

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Anomalous Synchronization of Integrate-and-Fire Oscillators with Global Coupling

Author(s) -

Masayuki Ataka,

Takao Ohta

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.161.156

Subject(s) - synchronization (alternating current) , coupling (piping) , function (biology) , coupling strength , pulse (music) , control theory (sociology) , physics , statistical physics , computer science , topology (electrical circuits) , mathematics , quantum mechanics , engineering , control (management) , condensed matter physics , voltage , combinatorics , mechanical engineering , evolutionary biology , artificial intelligence , biology

We study an infinite assembly of integrate and fire oscillators with global delta-function like pulse-coupling. Numerical simulations reveal that the time required for the mutual synchrony of all the oscillators exhibits singular behavior as a function of the interaction strength. The origin of this anomalous synchronization is elucidated by a theoretical analysis.

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