Adaptive oscillator networks with conserved overall coupling: Sequential firing and near-synchronized states

Clara B. Picallo, Hermann Riecke

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

Motivated by recent observations in neuronal systems we investigate all-to-all networks of nonidentical oscillators with adaptive coupling. The adaptation models spike-timing-dependent plasticity in which the sum of the weights of all incoming links is conserved. We find multiple phase-locked states that fall into two classes: near-synchronized states and splay states. Among the near-synchronized states are states that oscillate with a frequency that depends only very weakly on the coupling strength and is essentially given by the frequency of one of the oscillators, which is, however, neither the fastest nor the slowest oscillator. In sufficiently large networks the adaptive coupling is found to develop effective network topologies dominated by one or two loops. This results in a multitude of stable splay states, which differ in their firing sequences. With increasing coupling strength their frequency increases linearly and the oscillators become less synchronized. The essential features of the two classes of states are captured analytically in perturbation analyses of the extended Kuramoto model used in the simulations.

Original languageEnglish (US)
Article number036206
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume83
Issue number3
DOIs
StatePublished - Mar 18 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Adaptive oscillator networks with conserved overall coupling: Sequential firing and near-synchronized states'. Together they form a unique fingerprint.

  • Cite this