In this thesis, pattern formation in oscillatory media with a nonlinear global coupling is investigated. Predominant patterns are cluster states and so-called chimera states, i.e., the coexistence of synchronized and desynchronized regions. Two types of cluster states are found that give rise to two distinct chimera states. One of these types of cluster and chimera states reproduces experimental results. We perform a bifurcation analysis of the cluster states and identify the prerequisites for the chimera states.     «

In this thesis, pattern formation in oscillatory media with a nonlinear global coupling is investigated. Predominant patterns are cluster states and so-called chimera states, i.e., the coexistence of synchronized and desynchronized regions. Two types of cluster states are found that give rise to two distinct chimera states. One of these types of cluster and chimera states reproduces experimental results. We perform a bifurcation analysis of the cluster states and identify the prerequisites for t...     »