Synergetic Approach to the Phenomena of Mode-Locking in Nonlinear Systems

Abstract

The computer experiments are carried out on the phenomena of self-synchronization in a many-mode system described by the van der Pol type equation. The results are successfully explained in terms of the perturbation theory based on a mean field approximation proposed in a previous article. The extension of the theory to further complicated phenomena of mode-locking is briefly discussed.