4 papers
Breakdown of homoclinic orbits to of the hydrogen atom in a circularly polarized microwave field
Amadeu Delshams, Mercè Ollé, Juan Ramon Pacha +1
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size of the stan…
Safe trajectory of a piece moved by a robot
Ernest Benedito, Oliver Bond, Thomas Babb +3
In this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of…
Unobservable Planar Bimodal Linear Systems: Miniversal Deformations, Controllability and Stabilization
Josep Ferrer, M. Dolors Magret, Juan R. Pacha +1
We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focu…
Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton--Jacobi equation
Amadeu Delshams, Pere Gutiérrez, Juan R. Pacha
We consider a Hamiltonian system with 2 degrees of freedom, with a hyperbolic equilibrium point having a loop or homoclinic orbit (or, alternatively, two hyperbolic equilibrium poi…