Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems
arXiv:2202.12155 · doi:10.1017/prm.2023.2
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.