Display Abstract

Title Bifurcation analysis of chimera states

Name Oleh Omel'chenko
Country Germany
Email Oleh.Omelchenko@wias-berlin.de
Co-Author(s) Oleh Omel'chenko
Submit Time 2014-02-28 10:24:42
Session
Special Session 13: Nonlocally coupled dynamical systems: Analysis and applications
Contents
Chimera states are coherence-incoherence patterns observed in homogeneous discrete oscillatory media with a non-local coupling. Despite their nontrivial dynamical nature, such patterns can be effectively analyzed in the framework of the continuum limit formalism. Based on the statistical physics concept of local mean field and the Ott-Antonsen invariant manifold reduction, one can explain typical bifurcation scenarios leading to the appearance of chimera states. This provides a natural classification of known coherence-incoherence patterns, which also can be applied to predict their new types.