Parameterized shadowing for nonautonomous dynamics
Dynamical Systems
2023-08-28 v1
Abstract
For nonautonomous and nonlinear differential and difference equations depending on a parameter, we formulate sufficient conditions under which they exhibit , shadowing with respect to a parameter. Our results are applicable to situations when the linear part is not hyperbolic. In the case when the linear part is hyperbolic, we obtain results dealing with parameterized Hyers-Ulam stability.
Cite
@article{arxiv.2302.12603,
title = {Parameterized shadowing for nonautonomous dynamics},
author = {Lucas Backes and Davor Dragičević and Xiao Tang},
journal= {arXiv preprint arXiv:2302.12603},
year = {2023}
}