Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles
Dynamical Systems
2022-01-27 v2
Abstract
We consider the multiplicity of limit cycles that appear when a hyperbolic polycycle is perturbed. We prove, in particular, that if such unfolding happens in generic finite-parameter families, the multiplicity of every new limit cycle does not exceed the number of separatrix connections in the polycycle.
Keywords
Cite
@article{arxiv.2201.03652,
title = {Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles},
author = {Andrei Dukov},
journal= {arXiv preprint arXiv:2201.03652},
year = {2022}
}
Comments
1 figure, 27 pages, in Russian