Lagrange stability for impulsive Duffing equations
Dynamical Systems
2018-06-05 v1
Abstract
This work discusses the boundedness of solutions for impulsive Duffing equation with time-dependent polynomial potentials. By KAM theorem, we prove that all solutions of the Duffing equation with low regularity in time undergoing suitable impulses are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity. This result extends some well-known results on Duffing equations to impulsive Duffing equations.
Cite
@article{arxiv.1806.00577,
title = {Lagrange stability for impulsive Duffing equations},
author = {Jianhua Sun and Lu Chen and Xiaoping Yuan},
journal= {arXiv preprint arXiv:1806.00577},
year = {2018}
}