Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …

In this paper, we present algebraic tools to obtain normal forms of ω-Hamiltonian vector
fields under a semisymplectic action of a Lie group, by taking into account the symmetries …

This paper deals with the dynamics of time-reversible Hamiltonian vector fields with 2 and 3
degrees of freedom around an elliptic equilibrium point in presence of symplectic …

The purpose of this paper is to present an algebraic theoretical basis for the study of ω-
Hamiltonian vector fields defined on a symplectic vector space (V, ω) with respect to …

The aim of this work is to explore the behaviour of a differential system under the
simultaneous action of symmetries and reversing symmetries. We analyse the general …

A reflecting symmetry q ↦-q of a Hamiltonian system does not leave the symplectic
structure\rm dq ∧\rm dp invariant and is therefore usually associated with a reversible …

RESUMO A semelhança entre sistemas reversíveis e Hamiltonianos foi detectada nos
primórdios do século passado por Birkhoff. Neste trabalho realizamos uma análise …

In this paper we adapt the method of Baptistelli, Manoel, and Zeli (2016)[6] to obtain normal
forms of a class of smooth bireversible vector fields. These are vector fields reversible under …

Este trabalho é dedicado ao estudo da equação diferencial ordinária (ED0) autônoma de
segunda ordem\\Ddot= F (u,\\Dot), onde F\\in C^ r (\\R^ 2,\\R), r\\in\\{k\\geq1,\\infty,\\omega\\} …

Um dos objetivos deste trabalho é desenvolver um estudo sobre ações semissimpléticas
em espaços vetoriais simpléticos. Nesse contexto, introduzimos os conceitos de grupo ω …