14 citations · 21 across the 13 of their papers we have counts for
15 papers
On the density of Lyapunov unstable elliptic equilibria
Bassam Fayad, Jaime Paradela, Maria Saprykina +1
We prove that any real-analytic Hamiltonian in five or more degrees-of-freedom, with a locally integrable non-degenerate elliptic equilibrium with indefinite quadratic part, can be…
Chaoticity of generic analytic convex billiards
Inmaculada Baldomá, 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 , all intersecti…
Second-species dynamics in the restricted planar circular three body problem: chaos, final motions and periodic orbits
Marcel Guardia, José 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…
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 transform a symplectic form on a manifold M into a multiple of itself, . We assume is bounded, as some…
On the boundedness of solutions of a forced discontinuous oscillator
Tere M-Seara, Luan V. M. F. Silva, Jordi Villanueva
We study the global boundedness of the solutions of a non-smooth forced oscillator with a periodic and real analytic forcing. We show that the impact map associated with this disco…
A rigorous derivation of the asymptotic wavenumber of spiral wave solutions of the complex Ginzburg-Landau equation
Maria Aguareles, Inmaculada Baldomá, Tere M. -Seara
In this work n-armed Archimedian spiral wave solutions of the complex Ginzburg-Landau equation are considered. These solutions are showed to depend on two characteristic parameters…
Splitting of separatrices for rapid degenerate perturbations of the classical pendulum
Inmaculada Baldomá, Teresa M. -Seara, Román Moreno
In this work we study the splitting distance of a rapidly perturbed pendulum with $g(τ)=\sum_{…
Generalised analytical results on -ejection-collision orbits in the RTBP. Analysis of bifurcations
Tere M-Seara, Mercè Ollé, Óscar Rodríguez +1
In the planar circular restricted three-body problem and for any value of the mass parameter and , we prove the existence of four families of -ejection-coll…
Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics
Carles Bonet Revès, Tere M-Seara
We present two ways of regularizing a one parameter family of piece-wise smooth dynamical systems undergoing a codimension one grazing-sliding global bifurcation of periodic orbits…
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Maciej J. Capiński, Marcel Guardia, Pau Martín +2
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinati…
Global phase-amplitude description of oscillatory dynamics via the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
In this paper we use the parameterization method to provide a complete description of the dynamics of an -dimensional oscillator beyond the classical phase reduction. The parame…
A geometric approach to Phase Response Curves and its numerical computation through the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
The Phase Response Curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the li…
Generic behavior of a piecewise smooth vector field with non-smooth switching surface
Juliana Larrosa, Marco A. Teixeira, Tere M-Seara
This paper consists in discussing some issues on generic local classification of typical singularities of piecewise smooth vector fields when the switching set is an algebraic…
Regularization around a generic codimension one fold-fold singularity
Carles Bonet-Revés, Juliana Larrosa, Tere M-Seara
This paper is devoted to study the generic fold-fold singularity of Filippov systems on the plane, its unfoldings and its Sotomayor-Teixeira regularization. We work with general Fi…
A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results
Marian Gidea, Rafael de la Llave, Tere Seara
We present a general mechanism to establish the existence of diffusing orbits in a large class of nearly integrable Hamiltonian systems. Our approach relies on successive applicati…