Synchronization and Complex Dynamics of Oscillators with Delayed Pulse Coupling

摘要

Networks of coupled nonlinear oscillators often exhibit synchronization and complex dynamic patterns that range from oscillator clusters and partially synchronized states to wave patterns and spatiotemporal chaos. The emerging behavior depends crucially on the type and strength of the coupling, the network topology, as well as on the frequency distributions of the oscillators in the network. The relevance of synchronization phenomena has been recognized for many important biological functions, and the pioneering studies of Winfree and Kuramoto has opened up a challenging field of mathematical and theoretical study.