General framework for phase synchronization through localized sets

T. Pereira, M. S. Baptista, J. Kurths

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.

Original languageEnglish
Article number026216
Number of pages12
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number2
Publication statusPublished - 28 Feb 2007


  • differential-equations
  • chaotic systems
  • neurons
  • model
  • communication


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