Phase synchronization in driven and coupled chaotic oscillators

Author

Rosenblum, Michael G. ; Pikovsky, Arkady S. ; Kurths, Jurgen

Author_Institution

Dept. of Phys., Potsdam Univ., Germany

Volume

44

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

874

Lastpage

881

Abstract

We describe the effect of phase synchronization of chaotic oscillators. It is shown that phase can be defined for continuous time dynamical oscillators with chaotic dynamics, and effects of phase and frequency locking can be observed, We introduce several tools which characterize this weak synchronization and demonstrate phase and frequency locking by external periodic force, as well as due to weak interaction of nonidentical chaotic oscillators. In the synchronous state the phases of two systems are locked, while the amplitudes remain chaotic and noncorrelated. The intermittency phenomenon at the synchronization transition is considered. The application to the analysis of bivariate experimental data is discussed

Keywords

chaos; continuous time systems; coupled circuits; nonlinear network analysis; phase locked loops; synchronisation; variable-frequency oscillators; bivariate experimental data; continuous time dynamical oscillators; coupled chaotic oscillators; driven chaotic oscillators; external periodic force; frequency locking; nonidentical chaotic oscillators; phase locking; phase synchronization; synchronization transition; synchronous state; Chaos; Frequency synchronization; Mechanical engineering; Oscillators; Physics;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.633876

Filename

633876