Experimental Observation of Quasiperiodic Dynamics in Globally Coupled Oscillator Ensembles

Konferenz: NDES 2012 - Nonlinear Dynamics of Electronic Systems
11.07.2012 - 13.07.2012 in Wolfenbüttel, Germany

Tagungsband: NDES 2012

Seiten: 4Sprache: EnglischTyp: PDF

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Rosenblum, Michael (Institute of Physics and Astronomy, Universität Potsdam, Karl-Libknecht-Str. 24-25, 14476 Potsdam, Germany)
Temirbayev, Amirkhan A.; Zhanabaev, Zeinulla Zh.; Tarasov, Stanislav B. (Physical-Technical Department, al-Farabi Kazakh National University, al-Farabi ave. 71, 050040, Almaty, Kazakhstan)
Ponomarenko, Vladimir I. (Institute of Radio-Engineering, and Electronics, Saratov Branch, Russian Academy of Sciences, 38 Zelyonaya str., Saratov, 410019, Russia)

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.