Pedro A. S. Salomão

collaborators

8 papers

math.SG2026

Birkhoff conjecture and finite energy foliations in Hill's lunar problem

Lei Liu, Pedro A. S. SalomÃ£o

We prove Birkhoff's retrograde orbit conjecture in Hill's lunar problem by showing that the retrograde orbit bounds a disk-like global surface of section for every energy below the…

math.DS2026

Finite energy foliations and global dynamics in the restricted three-body problem

Lei Liu, Pedro A. S. SalomÃ£o

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…

math.DS2026

Blaschke-type models for multimodal circle maps

Edson de Faria, Welington de Melo, Pedro A. S. SalomÃ£o +1

For each integer $m \geq 1$ , we construct a finite-dimensional family of rational maps, given by Blaschke-type products, whose restriction to the unit circle consists of $2 m$ -multi…

math.SG2026

Cylindrical contact homology for weakly convex contact forms in dimension three

Ana Kelly de Oliveira, Pedro A. S. SalomÃ£o

A contact form $I^»$ on a closed contact three-manifold $(M, I^¾)$ is called weakly convex if either it has no contractible Reeb orbit, or the first Chern class of $I^¾$ vanishes on $Ï…

math.DS2026

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

Naiara V. de Paulo, Seongchan Kim, Pedro A. S. SalomÃ£o +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.SG2026

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…