44 citations · 77 across the 9 of their papers we have counts for
10 papers
Degenerate fixed points of maps in Banach spaces and lattices with decay and their invariant manifolds
Inmaculada Baldomá, Pau Martín, Donato Scarcella
Degenerate fixed points of maps appear in many interesting problems in Celestial Mechanics, Economics and Chemistry. Lattice systems, that is, dynamical systems consisting in an in…
Boltzmann Distribution on "Short" Integer Partitions with Power Parts: Limit Laws and Sampling
Jean C. Peyen, Leonid V. Bogachev, Paul P. Martin
The paper is concerned with the asymptotic analysis of a family of Boltzmann (multiplicative) distributions over the set of strict integer partitions (i.e.…
Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs
Filippo Giuliani, Marcel Guardia, Pau Martin +1
The aim of this note is to present the recent results in [16] where we provide the existence of solutions of some nonlinear resonant PDEs on the 2-dimensional torus exchanging ener…
Chaotic-like transfers of energy in Hamiltonian PDEs
Filippo Giuliani, Marcel Guardia, Pau Martin +1
We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on and we prove the existence of different types of solutions which exchange energy b…
Ageing of an oscillator due to frequency switching
Carles Bonet, Mike R. Jeffreyy, Pau Martin +1
If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional osc…
Whiskered parabolic tori in the planar -body problem
Inmaculada Baldoma, Ernest Fontich, Pau Martin
The planar -body problem models the motion of bodies in the plane under their mutual Newtonian gravitational attraction forces. When , the question about final…
Oscillatory orbits in the restricted elliptic planar three body problem
Marcel Guardia, Pau Martín, Lara Sabbagh +1
The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of the two other bodies, the primaries, which evolve…
Exponentially small asymptotic formulas for the length spectrum in some billiard tables
Pau Martín, Anna Tamarit-Sariol, Rafael Ramírez-Ros
Let be a period. There are at least two -periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the tabl…
Oscillatory motions for the restricted planar circular three body problem
Marcel Guardia, Pau Martin, Tere M. Seara
In this paper we consider the circular restricted three body problem which models the motion of a masless body under the influence of the Newtionan gravitational force caused by tw…
The inner equation for generalized standard maps
Imma Baldomà, Pau Martín
We study particular solutions of the inner equation associated to the splitting of separatrices on generalized standard maps. An exponentially small complete expression for their d…