Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems
Dynamical Systems
2023-06-28 v1 Classical Analysis and ODEs
Abstract
We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centers on their center manifolds. Moreover, we obtain an example of a quadratic rigid center from which is possible to bifurcate 13 limit cycles, which is a new lower bound for three-dimensional quadratic systems.
Keywords
Cite
@article{arxiv.2202.12155,
title = {Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems},
author = {Claudio Pessoa and Lucas Queiroz and Jarne D. Ribeiro},
journal= {arXiv preprint arXiv:2202.12155},
year = {2023}
}