ON A HYPOTHETICAL OSCILLATOR: INVESTIGATIONS IN THE LIGHT OF THE MELNIKOV’S APPROACH, SOME SIMULATIONS

Abstract

A variety of microelectromechanical (MEM) oscillators is governed bya version of the Mathieu equation that harbors both linear and cubic nonlinear time-varying stiffness terms [7]–[11]. Obviously, these studies can be successfully continued.In this paper, we propose a generalized hypothetical differential model. Considerationsin the light of the Melnikov’s approach are also given. We focus on some interestingsimulations based on the proposed new model as well as demonstrate specialized mod-ules for investigating the dynamics of these oscillators. This is an integral part of aplanned much more general Web-based application for scientific computing.