Wave propagation in oscillators coupled by time-varying resistor with timing mismatch

Synchronization phenomena in coupled oscillatory systems are very important model to describe various higher- dimensional nonlinear phenomena in the field of natural science. In this study, we investigate synchronization phenomena in van der Pol oscillators coupled by time-varying resistors with timing mismatch as a ring. By carrying out computer simulations, we confirm the various interesting phenomena (wave propagation, clustering, complex phase pattern) which cannot be observed in simple oscillatory systems coupled by resistors.