Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits

Details Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits

2010-12-05

arxiv.org/abs/1012.0978v1

Nonlinear Sciences

Chaotic Dynamics

Physical_Review_E_82_065201(R) 2010

Scientific paper

We report the first experimental demonstration of chaotic phase synchronization (CPS) in unidirectionally coupled time-delay systems using electronic circuits. We have also implemented experimentally an efficient methodology for characterizing CPS, namely the localized sets. Snapshots of the evolution of coupled systems and the sets as observed from the oscilloscope confirming CPS are shown experimentally. Numerical results from different approaches, namely phase differences, localized sets, changes in the largest Lyapunov exponents and the correlation of probability of recurrence ($C_{CPR}$), corroborate the experimental observations.

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