Finite-size-induced transition in ensemble of globally coupled oscillators |
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Authors: | Arkady S Pikovsky Katja Rateitschak Jürgen Kurths |
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Institution: | (1) Max-Planck-Arbeitsgruppe Nichtlineare Dynamik, Universität Potsdam, D-14415 Potsdam, Germany |
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Abstract: | The collective behavior of overdamped nonlinear noise-driven oscillators coupled via mean field is investigated numerically. When a coupling constant is increased, a transition in the dynamics of the mean field is observed. This transition scales with the number of oscillators and disappears when this number tends to infinity. Analytical arguments explaining the observed scaling are presented. |
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Keywords: | 05 40 +j 05 70 Fh |
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