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DY: Fachverband Dynamik und Statistische Physik

DY 6: Nonlinear Dynamics, Synchronization and Chaos

DY 6.5: Vortrag

Montag, 16. März 2020, 11:00–11:15, ZEU 147

Dimensional Reduction in Coupled Heteroclinic Cycles — •Maximilian Voit and Hildegard Meyer-Ortmanns — Jacobs University Bremen, Bremen, Deutschland

Modeling complex systems as networks has recently received much attention, as real world systems usually consist of many coupled units. The dynamics of such coupled systems generically differs from the individual dynamics of single units and collective effects are in the focus of interest. Although heteroclinic cycles emerge robustly in various scenarios (e.g. in population dynamics, fluid dynamics, or game theory), systems of coupled heteroclinic cycles have not been extensively studied up to now. Here, we present results on small networks of coupled heteroclinic systems. In spite of their simple structure, they exhibit rich dynamics. Different kinds of dimensional reduction are identified, most prominently generalized synchronization. In addition, we investigate the arising chaotic transients and their scaling behaviour.