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RAFAEL
ORTEGA RÍOS
CATEDRÁTICO DE UNIVERSIDAD
Publicaciones (126) Publicaciones de RAFAEL ORTEGA RÍOS
2024
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Circularization in the Damped Kepler Problem
SIAM Journal on Applied Dynamical Systems, Vol. 23, Núm. 2, pp. 1411-1441
2023
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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
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Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere
Communications in Contemporary Mathematics, Vol. 25, Núm. 4
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Prime ends dynamics on invariant Peano continua
Topology and its Applications, Vol. 339
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Recurrent Motions in a Piecewise Linear Oscillator
Annales Henri Poincare, Vol. 24, Núm. 2, pp. 697-715
2022
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An introduction to classical monodromy: Applications to molecules in external fields
Journal of Mathematical Physics, Vol. 63, Núm. 3
2021
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Generalized periodic orbits in some restricted three-body problems
Zeitschrift fur Angewandte Mathematik und Physik, Vol. 72, Núm. 1
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Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt
Nonlinearity, Vol. 34, Núm. 6, pp. 3732-3761
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Regularized variational principles for the perturbed Kepler problem
Advances in Mathematics, Vol. 383
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Variations On Lyapunov's Stability Criterion And Periodic Prey-Predator Systems
Electronic Research Archive, Vol. 29, Núm. 6, pp. 3995-4008
2020
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Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong
Ergodic Theory and Dynamical Systems, Vol. 40, Núm. 4, pp. 975-991
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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
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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
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Functions with Average and Bounded Motions of a Forced Discontinuous Oscillator
Journal of Dynamics and Differential Equations, Vol. 31, Núm. 3, pp. 1185-1198
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Periodic oscillators, isochronous centers and resonance
Nonlinearity, Vol. 32, Núm. 3, pp. 800-832
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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
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Stability of Periodic Solutions of the N-vortex Problem in General Domains
Regular and Chaotic Dynamics, Vol. 24, Núm. 6, pp. 649-670
2018
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Point-vortex stability under the influence of an external periodic flow
Nonlinearity, Vol. 31, Núm. 5, pp. 1849-1867
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Smooth linearisation of planar periodic maps
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 167, Núm. 2, pp. 295-320
2017
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Almost surely recurrent motions in the euclidean space
Proceedings of the American Mathematical Society, Vol. 145, Núm. 10, pp. 4345-4351