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Monotonous Period Function for Equivariant Differential Equations with Homogeneous Nonlinearities by Gasull, Armengol; Rojas, David is a scholarly article available to read on EtoBox.

What is Monotonous Period Function for Equivariant Differential Equations with Homogeneous Nonlinearities about?

We prove that the period function of the center at the origin of the $\mathbb{Z}_k$-equivariant differential equation $\dot{z}=iz+a(z\overline{z})^nz^{k+1}, a\ne0,$ is monotonous decreasing for all $n$ and $k$ positive integers, solving a conjecture about them. We show this result as corollary of proving that the period function of the center at the origin of a sub-family of the reversible quadratic centers is monotonous decreasing as well.

Author

Gasull, Armengol; Rojas, David

Published

2024

Language

EN