A new approach to partial synchronization in globally coupled rotators

P K Mohanty, A Politi

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)L415-L421
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number26
Publication statusPublished - 30 Jun 2006


  • large numbers
  • oscillators
  • states
  • chaos
  • population
  • stability
  • arrays
  • limit
  • law


Dive into the research topics of 'A new approach to partial synchronization in globally coupled rotators'. Together they form a unique fingerprint.

Cite this