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DY: Fachverband Dynamik und Statistische Physik

DY 28: Nonlinear Dynamics, Synchronization and Chaos - Part I

DY 28.2: Talk

Wednesday, March 18, 2015, 09:45–10:00, BH-N 128

Chaos synchronization by nonlinear coupling — •Johannes Petereit and Arkady Pikovsky — Universität Potsdam, Potsdam, Germany

Synchronization of chaos is a well known phenomenon that occurs in ensembles of coupled chaotic systems. It presents itself in different forms depending on the dynamics and the coupling scheme of the interacting systems. Previous researches have focussed on pairwise coupling implemented by a linear coupling operator. We used nonlinear coupling methods to link at least three systems.

In detail we coupled three logistic maps using two different nonlinear coupling schemes in order to check general properties of nonlinear coupling. We analyze different synchronization patterns in dependence on coupling strength by calculating appropriate synchronization measures and Lyapunov exponents. Possible extensions are also briefly discussed.