Unpredictable Solutions of Quasilinear Systems with Discontinuous Right-Hand Sides
Chaotic Dynamics
2021-11-02 v1 Dynamical Systems
Abstract
It is rigorously proved under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturbation function on the right-hand side is defined by means of an unpredictable sequence. A Gronwall-Coppel type inequality is utilized to achieve the main result, and the stability of the unpredictable solution is discussed. Examples with exponentially asymptotically stable and unstable unpredictable solutions are provided.
Keywords
Cite
@article{arxiv.2111.00114,
title = {Unpredictable Solutions of Quasilinear Systems with Discontinuous Right-Hand Sides},
author = {Mehmet Onur Fen and Fatma Tokmak Fen},
journal= {arXiv preprint arXiv:2111.00114},
year = {2021}
}
Comments
16 pages, 2 figures