Master-slave synchronization in the van der Pol and Duffing systems via elastic, dissipative and a combination of both couplings

Abstract

A modified master-slave scheme to look for synchronization, based on a general combination of elastic and dissipative couplings, is presented. We focus on solutions according the scheme presented, illustrating the method we use, by employing the van der Pol and Duffing oscillators and analyzing three different ways of coupling. We find synchronization in the oscillators.