39 citations · 148 across the 25 of their papers we have counts for
9 papers · 1 filter
Blaschke-type models for multimodal circle maps
Edson de Faria, Welington de Melo, Pedro A. S. Salomão +1
For each integer , we construct a finite-dimensional family of rational maps, given by Blaschke-type products, whose restriction to the unit circle consists of -multi…
Finite energy foliations and global dynamics in the restricted three-body problem
Lei Liu, Pedro A. S. Salomão
We establish a general criterion for the existence of finite energy foliations on contact three-manifolds with boundary, imposing strong global constraints on the associated Reeb f…
Non-resonant Hopf Links Near a Hamiltonian Equilibrium Point
C. Grotta-Ragazzo, Lei Liu, Pedro A. S. Salomão
This paper is about the existence of periodic orbits near an equilibrium point of a two-degree-of-freedom Hamiltonian system. The equilibrium is supposed to be a nondegenerate mini…
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…
A symplectic dynamics approach to the spatial isosceles three-body problem
Xijun Hu, Lei Liu, Yuwei Ou +2
We study the spatial isosceles three-body problem from the perspective of Symplectic Dynamics. For certain choices of mass ratio, angular momentum, and energy, the dynamics on the…
Genus zero global surfaces of section for Reeb flows and a result of Birkhoff
Umberto L. Hryniewicz, Pedro A. S. Salomão, Krzysztof Wysocki
We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a closed -manifold to bound a positive global surface of section with genus zero. T…
On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in
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 contains a sadd…
Persistence of fixed points under rigid perturbations of maps
Salvador Addas-Zanata, Pedro A. S. Salomão
Let be a real-analytic annulus diffeomorphism which is homotopic to the identity map and preserves an area form. Assume that for some lift $\…
A Poincaré-Birkhoff theorem for tight Reeb flows on
Umberto Hryniewicz, Al Momin, Pedro A. S. Salomão
We consider Reeb flows on the tight -sphere admitting a pair of closed orbits forming a Hopf link. If the rotation numbers associated to the transverse linearized dynamics at th…