Tere M.-Seara

collaborators

3 papers

math.DS2026

Chaoticity of generic analytic convex billiards

Inmaculada BaldomÃ¡, Anna Florio, Martin Leguil +1

We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number $\frac{p}{q} \in Q \cap (0, 1)$ , all intersecti…

math-ph2025

Second-species dynamics in the restricted planar circular three body problem: chaos, final motions and periodic orbits

Marcel Guardia, JosÃ© Lamas, Tere M-Seara

Consider the Restricted Planar Circular Three Body Problem (RPC3BP), which models the motion of a massless particle (Asteroid) under the gravitational influence of two massive bodi…

math.DS2025

Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps

Marian Gidea, Rafael de la Llave, Tere M-Seara

Conformally symplectic diffeomorphisms $f : M \to M$ transform a symplectic form $I ¨ $ on a manifold M into a multiple of itself, $f^{*} I ¨ = I^\cdot I ¨ $ . We assume $I ¨ $ is bounded, as…