Publicaciones (127) Publicaciones de RAFAEL ORTEGA RÍOS

2024

  1. Circularization in the Damped Kepler Problem

    SIAM Journal on Applied Dynamical Systems, Vol. 23, Núm. 2, pp. 1411-1441

  2. Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics

    Regular and Chaotic Dynamics, Vol. 29, Núm. 5, pp. 751-763

2023

  1. A two-point boundary value problem associated with Hamiltonian systems on a cylinder

    Rendiconti del Circolo Matematico di Palermo, Vol. 72, Núm. 8, pp. 3931-3947

  2. Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere

    Communications in Contemporary Mathematics, Vol. 25, Núm. 4

  3. Prime ends dynamics on invariant Peano continua

    Topology and its Applications, Vol. 339

  4. Recurrent Motions in a Piecewise Linear Oscillator

    Annales Henri Poincare, Vol. 24, Núm. 2, pp. 697-715

2022

  1. An introduction to classical monodromy: Applications to molecules in external fields

    Journal of Mathematical Physics, Vol. 63, Núm. 3

2021

  1. Generalized periodic orbits in some restricted three-body problems

    Zeitschrift fur Angewandte Mathematik und Physik, Vol. 72, Núm. 1

  2. Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt

    Nonlinearity, Vol. 34, Núm. 6, pp. 3732-3761

  3. Regularized variational principles for the perturbed Kepler problem

    Advances in Mathematics, Vol. 383

  4. Variations On Lyapunov's Stability Criterion And Periodic Prey-Predator Systems

    Electronic Research Archive, Vol. 29, Núm. 6, pp. 3995-4008

2020

  1. Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong

    Ergodic Theory and Dynamical Systems, Vol. 40, Núm. 4, pp. 975-991

  2. Some rigorous results on the 1:1 resonance of the spin-orbit problem

    SIAM Journal on Applied Dynamical Systems, Vol. 19, Núm. 4, pp. 2233-2267

2019

  1. A Proof of Bertrand’s Theorem Using the Theory of Isochronous Potentials

    Journal of Dynamics and Differential Equations, Vol. 31, Núm. 4, pp. 2017-2028

  2. Functions with Average and Bounded Motions of a Forced Discontinuous Oscillator

    Journal of Dynamics and Differential Equations, Vol. 31, Núm. 3, pp. 1185-1198

  3. Periodic oscillators, isochronous centers and resonance

    Nonlinearity, Vol. 32, Núm. 3, pp. 800-832

  4. Periodic solutions and regularization of a kepler problem with time-dependent perturbation

    Transactions of the American Mathematical Society, Vol. 372, Núm. 1, pp. 677-703

  5. Stability of Periodic Solutions of the N-vortex Problem in General Domains

    Regular and Chaotic Dynamics, Vol. 24, Núm. 6, pp. 649-670

2018

  1. Point-vortex stability under the influence of an external periodic flow

    Nonlinearity, Vol. 31, Núm. 5, pp. 1849-1867

  2. Smooth linearisation of planar periodic maps

    Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 167, Núm. 2, pp. 295-320