4 citations · 10 across the 6 of their papers we have counts for
7 papers
Braids of the N-body problem II: carousel solutions by cabling central configurations
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of relative periodic solutions of the planar -body problem starting with bodies moving close to a non-degenerate central configuratio…
Real Forms of Holomorphic Hamiltonian Systems
Philip Arathoon, Marine Fontaine
By complexifying a Hamiltonian system one obtains dynamics on a holomorphic symplectic manifold. To invert this construction we present a theory of real forms which not only recove…
Braids of the N-body problem by cabling a body in a central configuration
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of periodic solutions of the N=(n+1)-body problem starting with n bodies whose reduced motion is close to a non-degenerate central configuration and replacin…
A localization formula for equivariant Lyusternik-Schnirelmann category
Marine Fontaine, James Montaldi
The LS-category of a topological space is a numerical homotopy invariant, introduced originally in a course on the global calculus of variations by Lyusternik and Schnirelmann, to…
Symplectic slice for subgroup actions
Marine Fontaine
Given a symplectic manifold endowed with a proper Hamiltonian action of a Lie group , we consider the action induced by a Lie subgroup of . We propose a construct…
Persistence of stationary motion under explicit symmetry breaking perturbation
Marine Fontaine, James Montaldi
Explicit symmetry breaking occurs when a dynamical system having a certain symmetry group is perturbed in a way that the perturbation preserves only some symmetries of the original…
Stable Ground States for the HMF Poisson Model
Marine Fontaine, Mohammed Lemou, Florian Méhats
In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential.…