Inertial Manifolds and Limit Cycles of Dynamical Systems in $\mathbb R^n$
Dynamical Systems
2019-11-12 v1
Abstract
We show that the presence of a two-dimensional inertial manifold for an ordinary differential equation in permits reducing the problem of determining asymptotically orbitally stable limit cycles to the Poincare--Bendixson theory. In the case we implement such a scenario for a model of a satellite rotation around a celestial body of small mass and for a biochemical model.
Keywords
Cite
@article{arxiv.1911.03932,
title = {Inertial Manifolds and Limit Cycles of Dynamical Systems in $\mathbb R^n$},
author = {L. A. Kondratieva and A. V. Romanov},
journal= {arXiv preprint arXiv:1911.03932},
year = {2019}
}