Parametric excitation and chaos through dust-charge fluctuation in a dusty plasma
Chaotic Dynamics
2007-08-07 v1 Plasma Physics
Abstract
We consider a van der Pol-Mathieu (vdPM) equation with parametric forcing, which arises in a simplified model of dusty plasma with dust-charge fluctuation. We make a detailed numerical investigation and show that the system can be driven to chaos either through a period doubling cascade or though a subcritical pitchfork bifurcation over an wide range of parameter space. We also discuss the frequency entrainment or frequency-locked phase of the dust-charge fluctuation dynamics and show that the system exhibits 2:1 parametric resonance away from the chaotic regime.
Keywords
Cite
@article{arxiv.0708.0684,
title = {Parametric excitation and chaos through dust-charge fluctuation in a dusty plasma},
author = {Madhurjya P Bora and Dipak Sarmah},
journal= {arXiv preprint arXiv:0708.0684},
year = {2007}
}
Comments
10 pages, 16 figures