Effect of Nonisochronicity on the Chimera States in Coupled Nonlinear Oscillators

摘要

We investigate the conditions which enable one to show the phenomenon of swing of synchronized states via amplitude chimera states in non-locally coupled systems with symmetry breaking with coupled Stuart-Landau oscillators as an example. Chimera states represent the spatio-temporal patterns coexisting with synchronized and desynchronized behaviour in coupled identical oscillators. We identify that the radius of non-local interaction and the nonisochronicity in the system also play an important role in the observation of such states. The system shows such notable property neither for smaller values of nonisochronicity nor for higher values. We also carefully study the occurrence of different transition routes to recently observed dynamical state called chimera death while varying the strength of nonisochronicity parameter.