Unbounded dynamics for vector fields
Dynamical Systems
2025-02-13 v1 Classical Analysis and ODEs
Abstract
Consider a three-dimensional vector field which generates a finite number of fixed points - what can we say on its unbounded dynamics? In this paper we tackle this question, and prove sufficient conditions for to have fixed points with unbounded invariant manifolds. Following that, we use these results to study the dynamics of the Genesio-Tesi system, the Belousov-Zhabotinsky reaction, and the Michelson system.
Cite
@article{arxiv.2502.08300,
title = {Unbounded dynamics for vector fields},
author = {Eran Igra},
journal= {arXiv preprint arXiv:2502.08300},
year = {2025}
}