CHAOS IN A CLASS OF GENERALIZED ANHARMONIC OSCILLATORS. PART II

Abstract

It is well known that the chaotic behaviour of certain dynamical systems can be attributed to the presence of transverse homoclinic points. In this paper, we establish the existence of chaotic dynamics, in the sense of Smale, by applying the Melnikov method to a generalized anharmonic oscillator based on the model proposed by Christie and Gopalsamy (1995). We present computational modules designed for investigating the dynamics of the proposed extended model. These modules are intended to form an integral part of a forthcoming, more comprehensive web-based application for scientific computing.