Dresden 2014 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Nonlinear Dynamics, Synchronization and Chaos - Part I
DY 15.5: Talk
Wednesday, April 2, 2014, 10:45–11:00, HÜL 186
Stuart-Landau oscillators with a conservation law: chimera states and clustering — •Lennart Schmidt1,2, Katharina Krischer1, and Vladimir García-Morales1 — 1Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, Garching, Germany — 2Institute for Advanced Study - Technische Universität München, Garching, Germany
We describe a population of Stuart-Landau oscillators with a nonlinear global coupling. This coupling leads to conserved harmonic oscillations of the mean field. In simulations we observe various kinds of dynamics, including two types of chimera states. Furthermore, tuning the amplitude of the mean-field oscillations gives rise to a transition from the synchronized state to clusters via a Hopf bifurcation. At the Hopf bifurcation two groups emerge out of the whole population, oscillating in anti-phase as to fulfill the conservation law. Since in general the frequency of the new limit cycle is incommensurate to the frequency of the mean-field oscillations, one observes quasiperiodic dynamics.