Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Nonlinear Dynamics, Synchronization and Chaos I
DY 12.9: Vortrag
Dienstag, 12. März 2013, 11:45–12:00, H48
Geometric signature of complex synchronisation scenarios — Jan H. Feldhoff1,2, •Reik V. Donner1, Jonathan F. Donges1,2, Norbert Marwan1, and Jürgen Kurths1,2 — 1Potsdam 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.