Article · July 11, 2012

Experimental Observation of Quasiperiodic Dynamics in Globally Coupled Oscillator Ensembles

Michael Rosenblum, Amirkhan A. Temirbayev, Z. Zh. Zhanabaev, Stanislav B. Tarasov, В. И. Пономаренко

Abstract

We present the results of experiments with 20 electronic limit-cycle oscillators, globally coupled via a common load. We analyze collective dynamics of the ensemble in cases of linear and nonlinear phase-shifting unit in the global feedback loop. In the first case we observe the standard Kuramoto transition to collective synchrony. In the second case, we observe transition to a self-organized quasiperiodic state, predicted in [M. Rosenblum and A. Pikovsky, PRL, (2007)]. We demonstrate a good correspondence between our experimental results and previously developed theory.We also describe a simple measure which reveals the macroscopic incoherence-coherence transition in a finite-size ensemble.

Nonlinear Dynamics and Pattern FormationChaos control and synchronizationNeural dynamics and brain functionquasi-periodic motionglobally coupled oscillatorslimit-cycle oscillators

Experimental Observation of Quasiperiodic Dynamics in Globally Coupled Oscillator Ensembles

Abstract

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