2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2025
Monotonicity of the period function for planar Hamiltonian vector fields: A Generalization of Chicone's Criterion
F. J. S. Nascimento
This paper investigates the monotonicity of the period function associated with planar Hamiltonian systems of the form . We establish sufficient conditions en…
math.DS2025
Analytic conjugation between planar reversible and Hamiltonian systems
F. J. S. Nascimento
In this work we study the local structure of analytic planar vector fields that are reversible with respect to the linear involution . We show that every analytic re…
math.DS2024★ 2 cited
Analytic conjugation between planar differential systems and potential systems
F. J. S. Nascimento
In this article it is proved that an analytical planar vector field with a non-degenerate center at is analytically conjugate, in a neighborhood of , to a Hamiltonia…