Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Simó, Carles"'
Angle-action maps that are periodic in the action direction can have accelerator modes: orbits that are periodic when projected onto the torus, but that lift to unbounded orbits in an action variable. In this paper we construct a volume-preserving fa
Externí odkaz:
http://arxiv.org/abs/1802.10484
Autor:
Boatto, Stefanella, Simó, Carles
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2019 Nov . 377(2158), 1-22.
Externí odkaz:
https://www.jstor.org/stable/26838326
Autor:
Cincotta, Pablo M., Simó, Carles
Publikováno v:
In Physica D: Nonlinear Phenomena December 2020 413
Publikováno v:
Physica D {\bf 256-7} (2013), 21--35
We consider the motion of point masses given by a natural extension of Newtonian gravitation to spaces of constant positive curvature. Our goal is to explore the spectral stability of tetrahedral orbits of the corresponding 4-body problem in the 2-di
Externí odkaz:
http://arxiv.org/abs/1204.5729
Autor:
Kapela, Tomasz, Simó, Carles
We set up a methodology for computer assisted proofs of the existence and the KAM stability of an arbitrary periodic orbit for Hamiltonian systems. We give two examples of application for systems with 2 and 3 degrees of freedom. The first example ver
Externí odkaz:
http://arxiv.org/abs/1105.3235
Autor:
Capinski, Maciej J., Simo, Carles
We present a topological proof of the existence of a normally hyperbolic invariant manifold for maps. In our approach we do not require that the map is a perturbation of some other map for which we already have an invariant manifold. But a non-rigoro
Externí odkaz:
http://arxiv.org/abs/1105.1277
Autor:
Pujol, Olivier, Pérez, José-Philippe, Ramis, Jean-Pierre, Simó, Carles, Simon, Sergi, Weil, Jacques-Arthur
Publikováno v:
Physica D 239 (2010), no. 12, 1067--1081
A Swinging Atwood Machine (SAM) is built and some experimental results concerning its dynamic behaviour are presented. Experiments clearly show that pulleys play a role in the motion of the pendulum, since they can rotate and have non-negligible radi
Externí odkaz:
http://arxiv.org/abs/0912.5168
We consider a 2 d.o.f. Hamiltonian system with one degree of freedom corresponding to fast motion and the other corresponding to slow motion. The ratio of the time derivatives of slow and fast variables is of order $0<\eps \ll 1$. At frozen values of
Externí odkaz:
http://arxiv.org/abs/math/0611468
We study, both numerically and theoretically, the relationship between the random Lyapunov exponent of a family of area preserving diffeomorphisms of the 2-sphere and the mean of the Lyapunov exponents of the individual members.
Comment: 51 page
Comment: 51 page
Externí odkaz:
http://arxiv.org/abs/math/0210252