http://www.cnr.it/ontology/cnr/individuo/prodotto/ID57028

A new approach to partial synchronization in globally coupled rotators (Articolo in rivista)

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A new approach to partial synchronization in globally coupled rotators (Articolo in rivista) (literal)

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Mohanty P.K., Politi A. (2006)
A new approach to partial synchronization in globally coupled rotators
in Journal of physics. A, mathematical and general (Print)
(literal)

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Max-Planck Institute für Physik Komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany 1) Permanent address: CNR, Istituto dei Sistemi Complessi, via Madonna del Piano, 10 I-50019 Sesto Fiorentino, Italy (literal)

Titolo

A new approach to partial synchronization in globally coupled rotators (literal)

Abstract

We develop a formalism to analyse the behaviour of pulse-coupled identical phase oscillators with specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the microscopic and macroscopic level, is introduced in a general context, but then the application to the dynamics of leaky integrate-and-fire (LIF) neurons is analysed. As a result, we derive a set of delayed equations describing exactly the LIF behaviour in the thermodynamic limit. We also investigate the weak coupling regime by means of a perturbative analysis, which reveals that the evolution rule reduces to a set of ordinary differential equations. Robustness and generality of the partial synchronization regime is finally tested both by adding noise and considering different force fields. (literal)

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