Study of Synchronisation in Chains of Coupled Non-Linear Oscillators and Resonators

Abstract

The aim of this Research Project was to study synchronisation in one-dimensional chains of coupled nonlinear systems, such as van der Pol oscillator and Duffing resonator. The results were obtained using numerical experiments, and, where appropriate, are discussed in terms of the linear perturbation theory and the recently proposed Partial Contraction theory [1]. Simple nonlinear systems, such as Duffing resonator, provide a good understanding of the nonlinear properties of MEMS [2] [3] and NEMS[4] devices. Therefore, the results obtained here are also discussed in the context of application to MEMS and NEMS resonators and their arrays.