Smooth inertial manifolds for neutral differential equations with small delays
Dynamical Systems
2021-03-30 v3
Abstract
In this paper, we study the dynamical behaviors of neutral differential equations with small delays. We first establish the existence and smoothness of the global inertial manifolds for these equations. Then we further prove the smoothness of inertial manifolds with respect to small delays for a certain class of neutral differential equations. The method can be also applied to deal with more general small-delay systems. Finally, we apply our main results to the van der Pol oscillator model with small delay.
Keywords
Cite
@article{arxiv.1911.07385,
title = {Smooth inertial manifolds for neutral differential equations with small delays},
author = {Shuang Chen and Jun Shen},
journal= {arXiv preprint arXiv:1911.07385},
year = {2021}
}
Comments
accepted in Journal of Dynamics and Differential Equations