Title :
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
fDate :
10/1/1997 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
