Irrational phase synchronization

Year: 2004

Authors: Baptista M.S., Boccaletti S., Josic K., Leyva I.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Mathematics, University of Houston, Texas 77204-3009, USA;
Instituto de Fisica, Universidade de São Paolo, Caixa Postal 66318, 05315-970 São Paolo SP, Brasil

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 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.

Journal/Review: PHYSICAL REVIEW E

Volume: 69 (5)      Pages from: 056228-1  to: 056228-5

KeyWords: CHAOTIC OSCILLATORS; SYSTEMS; LOCKING
DOI: 10.1103/PhysRevE.69.056228

Citations: 12
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here