Nonlinear-damped Duffing oscillators having finite time dynamics
Chaotic Dynamics
2014-04-23 v1
Abstract
A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a finite number of cycles, and, thereafter, the motion is zero. The relevance of this feature is briefly discussed in relationship to the mathematical modeling, analysis, and estimation of parameters for the vibrations of carbon nano-tubes and graphene sheets, and macroscopic beams and plates.
Cite
@article{arxiv.1404.5596,
title = {Nonlinear-damped Duffing oscillators having finite time dynamics},
author = {Ronald E. Mickens and Ray Bullock and Warren E. Collins and Kale Oyedeji},
journal= {arXiv preprint arXiv:1404.5596},
year = {2014}
}
Comments
15 pages