ON A NEW CLASS OF MODIFIED ESCAPE OSCILLATORS: DYNAMICS, SIMULATIONS AND APPLICATIONS

Abstract

In this paper, we propose a new class of modified oscillator modelswith Legendre, Hermite, Chebyshev (first kind), and Chebyshev (second kind) polyno-mials respectively. Some specialized modules for investigating the dynamics of theseoscillators are demonstrated. It is considered the model (in some particular cases) inthe light of Melnikov’s approach. The research will be included as an integral part ofa planned much more general Web-based application for scientific computing.