N. V. Paulo

most citedOn the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in

R^{4}

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.DS2024

Transverse foliations for two-degree-of-freedom mechanical systems

Naiara V. de Paulo, Seongchan Kim, Pedro A. S. Salomão +1

We investigate the dynamics of a two-degree-of-freedom mechanical system for energies slightly above a critical value. The critical set of the potential function is assumed to cont…

math.DS2017★ 1 cited

On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $R^{4}$

Naiara V. de Paulo, Pedro A. S. Salomão

We study two-degree-of-freedom Hamiltonian systems. Let us assume that the zero energy level of a real-analytic Hamiltonian function $H : R^{4} \to R$ contains a sadd…

Transverse foliations for two-degree-of-freedom mechanical systems

On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in R4

On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $R^{4}$