Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Nonlinear Dynamics, Synchronization and Chaos - Part I
DY 15.8: Vortrag
Mittwoch, 2. April 2014, 11:30–11:45, HÜL 186
Robustness of Chimera States in Nonlocally Coupled Networks of Nonidentical Logistic Maps — •Anne-Kathleen Malchow1, Philipp Hövel1,2, and Iryna Omelchenko1,2 — 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany — 2Bernstein Center for Computational Neuroscience, Humboldt-Universität zu Berlin, Philippstraße 13, 10115 Berlin, Germany
We investigate the spatio-temporal dynamics of a ring-network of nonlocally coupled discrete maps, where each element is coupled to a certain number of nearest neighbors. The local dynamics are described by logistic maps with nonlinearity parameters drawn from some fixed distribution within the chaotic regime.
Besides synchronous and spatially chaotic states, we focus particularly on the existence of spatially coherent solutions as well as on the presence of multistable chimera-like states at the transition from coherence to incoherence. Chimera-like states are characterized by a hybrid spatial structure, as they are partially coherent and partially incoherent.
Varying the range and strength of the coupling and especially the variance of the distribution of the nonlinearity parameter values, which denotes the extent of inhomogeneity in the system, we analyze the stability of the different states and compare their stability regions with the case of identical elements.