Browsing by Author "Guàrdia Munarriz, Marcel"
Now showing items 21-27 of 27
-
Oscillatory motions for the restricted planar circular three body problem
Guàrdia Munarriz, Marcel; Martín, Pau; Martínez-Seara Alonso, M. Teresa (2016-02-01)
Article
Open Access© 2015, Springer-Verlag Berlin Heidelberg. The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. ... -
Oscillatory orbits in the restricted elliptic planar three body problem
Guàrdia Munarriz, Marcel; Martín, Pau; Sabbagh, Lara; Martínez-Seara Alonso, M. Teresa (Southwest Missouri State University, 2017-01-01)
Article
Open AccessThe restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called ... -
Secular instability in the three-body problem
Fejoz, J.; Guàrdia Munarriz, Marcel (2016-02-03)
Article
Open Access© 2016 European Union Consider the three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances ... -
SISTEMES HAMILTONIANS | FINAL
Guàrdia Munarriz, Marcel (Universitat Politècnica de Catalunya, 2023-05-30)
Exam
Restricted access to the UPC academic community -
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
Guàrdia Munarriz, Marcel (2013)
Article
Open AccessIn this paper we consider general nearly integrable analytic Hamiltonian systems of one and a half degrees of freedom which are a trigonometric polynomial in the angular state variable. In the resonances of these systems ... -
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
Guàrdia Munarriz, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela (2022-03-03)
Article
Open AccessWe consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions. These are ... -
Symbolic dynamics in the restricted elliptic isosceles three body problem
Guàrdia Munarriz, Marcel; Paradela Díaz, Jaime; Martínez-Seara Alonso, M. Teresa; Vidal Díaz, Claudio (2021-09-05)
Article
Restricted access - publisher's policyThe restricted elliptic isosceles three body problem (REI3BP) models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. The primaries of ...