A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems
Dynamical Systems
2017-07-25 v2
Abstract
A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. For higher order equations the delay sizes and patterns play essential roles in determining which subsequences of solutions converge. For systems the specific manner in which the equations are related is important and lead to different criteria. Applications to discrete dynamical systems, including some that model populations of certain species are discussed.
Cite
@article{arxiv.1702.02884,
title = {A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems},
author = {H. Sedaghat},
journal= {arXiv preprint arXiv:1702.02884},
year = {2017}
}
Comments
14 pages; an example and 4 figures added to the latest version to illustrate the main result in a concrete case