Coupled Networks, Patterns and Complexity - Abstract
Omel'chenko, Oleh
Chimera states are remarkable spatio-temporal patterns where regions of synchrony coexists with regions of incoherent motion in a spatially homogeneous system of non-locally coupled oscillators. In this talk, we will present a general theoretical approach based on the thermodynamic limit formalism, which explains typical bifurcation scenarios leading to appearance of such patterns. Our approach is based on the Ott-Antonsen reduction method and the concept of local mean field. It provides a suitable classification of known coherence-incoherence patterns and has a potential of predicting new ones.