There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.
Abstract
This paper considers effect of nonlinear dissipation on the basin boundaries of a
diven two-well Modified Rayleigh-Duffing Oscillator where pure and unpure quadratic
and cubic nonlinearities are considered. By analyzing the potential, an analytic expression
is found for the homoclinic orbit. The Melnikov criterion is used to examine a global
homoclinic bifurcation and transition to chaos in the case of our oscillator. It is
found the effects of unpure quadratic parameter and amplitude of parametric excitation
on the critical Melnikov amplitude \(\mu_{cr}\). Finally, we examine carefully the phase
space of initial conditions in order to analyze the effect of the nonlinear damping,
and particular how the basin boundaries become fractalized.