In the single-IV model, researchers commonly rely on t-ratio-based inference, even though
the literature has quantified its potentially severe large-sample distortions. Building on Stock …

The restricted elliptic isosceles three body problem (REI3BP) models the motion of a
massless body under the influence of the Newtonian gravitational force caused by two other …

We consider the classical approximation of a realistic model for the scattering of He atoms
from Cu surfaces. For this problem, modeled by a two-degrees-of-freedom Hamiltonian …

Consider the planar 3 Body Problem with masses $ m_0, m_1, m_2> 0$. In this paper we
address two fundamental questions: the existence of oscillatory motions and of chaotic …

We study the computation of local approximations of invariant manifolds of parabolic fixed
points and parabolic periodic orbits of periodic vector fields. If the dimension of these …

Abstract The planar (n+ 1)(n+ 1)-body problem models the motion of n+ 1 n+ 1 bodies in the
plane under their mutual Newtonian gravitational attraction forces. When n ≥ 3 n≥ 3, the …

In the 70s McGehee introduced a compactification of the phase space of the restricted 3-
body problem by gluing a manifold of periodic orbits" at infinity". Although from the …

There are many interesting dynamical systems in which degenerate invariant tori appear.
We give conditions under which these degenerate tori have stable and unstable invariant …

arxiv:2108.04887v2 [math.DS] 4 Oct 2021 Page 1 arxiv:2108.04887v2 [math.DS] 4 Oct 2021
Invariant Curves for Degenerate Hyperbolic Maps of the Plane Charles Fefferman* September …

We consider analytic maps and vector fields defined in R 2× T d, having a d-dimensional
invariant torus T. The map (resp. vector field) restricted to T defines a rotation of Diophantine …