Non-formally integrable centers admitting an algebraic inverse integrating factor
Dynamical Systems
2024-09-27 v1
Abstract
Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers of the systems whose lowest-degree quasiho mogeneous term is (-y3,x3)T with an algebraic inverse integrating factor. Keywords: Nonlinear differential systems, Inverse integrating factor, Integrability problem, Degenerate center problem
Cite
@article{arxiv.2409.17694,
title = {Non-formally integrable centers admitting an algebraic inverse integrating factor},
author = {A. Algaba and N. Fuentes and C. Garcia and M. Reyes},
journal= {arXiv preprint arXiv:2409.17694},
year = {2024}
}
Comments
18 pages