12 citations · 35 across the 11 of their papers we have counts for
11 papers
Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori
Joan Gimeno, Àngel Jorba, Begoña Nicolás +1
In this paper we present a procedure to compute reducible invariant tori and their stable and unstable manifolds in stroboscopic Poincaré maps. The method has two steps. In the fir…
Triggering recollisions with XUV pulses: Imprint of recolliding periodic orbits
Jonathan Dubois, Angel Jorba
We consider an electron in an atom driven by an infrared (IR) elliptically polarized laser field after its ionization by an ultrashort extreme ultraviolet (XUV) pulse. We find that…
Dynamical organization of recollisions by a family of invariant tori
Jonathan Dubois, Marc Jorba-Cusco, {À}ngel Jorba +1
We consider the motion of an electron in an atom subjected to a strong linearly polarized laser field. We identify the invariant structures organizing a very specific subset of tra…
Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem
Marco Fenucci, Àngel Jorba
We take into account the Coulomb (N + 1)-body problem with N = 12, 24, 60. One of the particles has positive charge Q > 0, and the remaining N have all the same negative charge q <…
A simple model for the location of Saturn's F ring
Luis Benet, Àngel Jorba
In this paper, we introduce a simplified model to understand the location of Saturn's F ring. The model is a planar restricted five-body problem defined by the gravitational field…
Towards a renormalization theory for quasi-periodically forced one dimensional maps III. Numerical Support
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
In a previous work by the authors the one dimensional (doubling) renormalization operator was extended to the case of quasi-periodically forced one dimensional maps. The theory was…
Towards a renormalization theory for quasi-periodically forced one dimensional maps II. Asymptotic behavior of reducibility loss bifurcations
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
In this paper we are concerned with quasi-periodic forced one dimensional maps. We consider a two parametric family of quasi-periodically forced maps such that the one dimensional…
Towards a renormalization theory for quasi-periodically forced one dimensional maps I. Existence of reducibility loss bifurcations
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
We propose an extension of the one dimensional (doubling) renormalization operator to the case of maps on the cylinder. The kind of maps considered are commonly referred as quasi-p…
Numerical evidences of universality and self-similarity in the Forced Logistic Map
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
We explore different families of quasi-periodically Forced Logistic Maps for the existence of universality and self-similarity properties. In the bifurcation diagram of the Logisti…
Period doubling and reducibility in the quasi-periodically forced logistic map
Angel Jorba, Pau Rabassa, Joan Carles Tatjer
We study the dynamics of the Forced Logistic Map in the cylinder. We compute a bifurcation diagram in terms of the dynamics of the attracting set. Different properties of the attra…
Hopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow
Pablo S. Casas, Angel Jorba
This paper studies various Hopf bifurcations in the two-dimensional plane Poiseuille problem. For several values of the wavenumber , we obtain the branch of periodic flows which…