1 citations · 1 across the 4 of their papers we have counts for
8 papers
Cylindrical contact homology for weakly convex contact forms in dimension three
Ana Kelly de Oliveira, Pedro A. S. Salomão
A contact form on a closed contact three-manifold is called weakly convex if either it has no contractible Reeb orbit, or the first Chern class of vanishes on $π_2(…
ECH Constraints and Twist Dynamics in the Spatial Isosceles Three-Body Problem
Xijun Hu, Lei Liu, Yuwei Ou +2
We study dynamical constraints arising from Embedded Contact Homology (ECH) in the spatial isosceles three-body problem. For energies below the critical level, the dynamics on the…
On the knot types of periodic Reeb orbits of dynamically convex contact forms
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring
We exhibit transverse knot types on the standard contact -sphere that cannot be realized as periodic Reeb orbits of a dynamically convex contact form. In particular, such transv…
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…
Global surfaces of section with positive genus for dynamically convex Reeb flows
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring
We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of…