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DY: Fachverband Dynamik und Statistische Physik
DY 43: Nonlinear Dynamics, Synchronizsation and Chaos
DY 43.13: Talk
Thursday, March 23, 2017, 12:45–13:00, ZEU 118
Synchronisation Behaviour and the Emergence of Chaotic Dynamics in Systems of Viscoelastically Coupled Van der Pol Oscillators — •Sebastian Stein1,2, Stefan Luther1,2,3, and Ulrich Parlitz1,2 — 1Biomedical Physics Research Group, Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, D-37077 Göttingen, Germany — 2Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany — 3Universitätsmedizin Göttingen, Georg-August-Universität Göttingen, Robert-Koch-Straße 40, D-37075 Göttingen, Germany
We investigate a system of viscoelastically coupled, modified Van der Pol oscillators to compare their synchronisation properties due to elastic and viscoelastic coupling. To study the impact of symmetry, the Van der Pol oscillators are modified to exhibit either a symmetric or asymmetric restoring force. It will be shown that increasing viscosity of the coupling or symmetry breaking of the (harmonic) potential have a strong impact on the stability of synchronised periodic solutions and may lead to the emergence of chaotic behaviour.