The Krylov-Bogoliuvob-Mitropolsky averaging method for polynomial dynamical systems
Dynamical Systems
2025-04-07 v2 Analysis of PDEs
Abstract
We describe the transformation of a polynomial planar dynamical system into a second order differential equation by means of a polynomial change of variables. We then, by means of the Krylov-Bogoliubov-Mitropolsky averaging method, identify sufficient conditions involving said change of variables so that a limit cycle exists.
Keywords
Cite
@article{arxiv.2504.00268,
title = {The Krylov-Bogoliuvob-Mitropolsky averaging method for polynomial dynamical systems},
author = {Frank Ernesto Alvarez and Mariano Rodriguez Ricard},
journal= {arXiv preprint arXiv:2504.00268},
year = {2025}
}