Irrational phase synchronization

Murilo Da Silva Baptista, S Boccaletti, K Josic, I Leyva

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We study the occurrence of physically observable phase locked states between chaotic oscillators and rotors in which the frequencies of the coupled systems are irrationally related. For two chaotic oscillators, the phenomenon occurs as a result of a coupling term which breaks the 2pi invariance in the phase equations. In the case of rotors, a coupling term in the angular velocities results in very long times during which the coupled systems exhibit alternatively irrational phase synchronization and random phase diffusion. The range of parameters for which the phenomenon occurs contains an open set, and is thus physically observable.

Original languageEnglish
Article number056228
Number of pages5
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
Publication statusPublished - May 2004


  • chaotic oscillators
  • systems
  • locking


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