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Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Nonlinear Dynamics, Synchronization and Chaos I

DY 12.9: Talk

Tuesday, March 12, 2013, 11:45–12:00, H48

Geometric signature of complex synchronisation scenariosJan H. Feldhoff1,2, •Reik V. Donner1, Jonathan F. Donges1,2, Norbert Marwan1, and Jürgen Kurths1,21Potsdam Institute for Climate Impact Research, Germany — 2Department of Physics, Humboldt University, Berlin, Germany

Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the strength of coupling often leads to qualitative changes in the complex dynamics of the mutually coupled systems including different types of synchronisation such as phase, lag, generalised, or even complete synchronisation. Here, we study the geometric signatures of coupling along with the onset of generalised synchronisation between two coupled chaotic oscillators by mapping the systems' individual as well as joint recurrences in phase space to a complex network. For a paradigmatic continuous-time model system, the transitivity properties of the resulting joint recurrence networks display distinct variations associated with changes in the structural similarity between different parts of the considered trajectories. They therefore provide a useful indicator for the emergence of generalised synchronisation.

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