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Baptista MS, Boccaletti S, Josić K, et al. Irrational phase synchronization. Phys Rev E Stat Nonlin Soft Matter Phys. 2004;69(5):056228doi: 10.1103/PhysRevE.69.056228.
Baptista, M. S., Boccaletti, S., Josić, K., & Leyva, I. (2004). Irrational phase synchronization. Physical review. E, Statistical, nonlinear, and soft matter physics, 69(5), 056228. https://doi.org/10.1103/PhysRevE.69.056228
Baptista, M S, et al. "Irrational phase synchronization." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 69,5 (2004): 056228. doi: https://doi.org/10.1103/PhysRevE.69.056228
Baptista MS, Boccaletti S, Josić K, Leyva I. Irrational phase synchronization. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5):056228. doi: 10.1103/PhysRevE.69.056228. Epub 2004 May 28. PMID: 15244925.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5):056228. doi: 10.1103/PhysRevE.69.056228. Epub 2004 May 28.

Irrational phase synchronization.

Physical review. E, Statistical, nonlinear, and soft matter physics

M S Baptista, S Boccaletti, K Josić, I Leyva

Affiliations

  1. Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, I50125 Florence, Italy.

PMID: 15244925 DOI: 10.1103/PhysRevE.69.056228

Abstract

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 2 pi 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.

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