4 papers
Arnold diffusion for an a priori unstable Hamiltonian system with 3 1/2 degrees of freedom
Amadeu Delshams, Albert Granados, Rodrigo G. Schaefer
In the present paper we apply the geometrical mechanism of diffusion in an \emph{a priori} unstable Hamiltonian system with 3 1/2 degrees of freedom. This mechanism consists of…
Notes on the computation of periodic orbits using Newton and Melnikov's method
Albert Granados
These notes were written during the 9th and 10th sessions of the subject Dynamical Systems II coursed at DTU (Denmark) during the Winter Semester 2015-2016, and later extended in F…
Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models
Albert Granados, Gemma Huguet
In this work we consider a general class of -dimensional hybrid systems. Assuming that the system possesses an attracting equilibrium point, we show that, when periodically driv…
Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators
Albert Granados
Energy harvesting systems based on oscillators aim to capture energy from mechanical oscillations and convert it into electrical energy. Widely extended are those based on piezoele…