Exploració per tema "invariant manifolds"
Ara es mostren els items 1-13 de 13
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Computation of limit cycles and their isochrons: Fast algorithms and their convergence
(2013)
Article
Accés restringit per política de l'editorialWe present efficient algorithms to compute limit cycles and their isochrons (i.e., the sets of points with the same asymptotic phase) for planar vector fields. We formulate a functional equation for the parameterization ... -
Estudi i utilització de materials invariants en problemes de mecànica celeste
(Universitat Politècnica de Catalunya, 1991-10-09)
Tesi
Accés obertLa memòria consta de dues parts. En la primera d'elles s'estudien les òrbites homoclíniques i heteroclíniques associades als punts d'equilibri triangulars del problema restringit circular i pla per valors del paràmetre de ... -
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
(2017-08-01)
Article
Accés obertWe study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue ... -
HAmsys 2014
(2014)
Text en actes de congrés
Accés restringit per política de l'editorialIn this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet ... -
Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
(2004)
Article
Accés obertIn this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, ... -
Horseshoe periodic orbits in the restricted three body problem
(2001)
Article
Accés obert -
Impulsive transfers between lissajous libration point orbits
(2003)
Article
Accés obertA complete methodology for the transfer between two Lissajous orbits around the same collinear equilibrium point is developed making use of the geometry of the phase space around these points. The result of the study ... -
Invariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps
(2003)
Article
Accés obertIn this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic map undergoing a transition from linear stability to complex instability, i.e., the so called Hamiltonian-Hopf bifurcation. ... -
Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
(2003)
Article
Accés obertThe paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ... -
Systematic study of the connections between the collinear libration points of a coherent Sun-Earth-Moon restricted four-body model
(2017)
Text en actes de congrés
Accés restringit per política de l'editorialA new approach is proposed for the systematic detection and refinement of natural connections between the libration points eml1,2 of the Earth-Moon system and sel1,2 of the Sun-Earth system. It makes use of the Quasi-Bicircular ... -
The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces
(2002)
Article
Accés obertWe introduce a method to prove existence of invariant manifolds and, at the same time to find simple polynomial maps which are conjugated to the dynamics on them. As a first application, we consider the dynamical system ... -
The parameterization method for invariant manifolds II: regularity with respect to parameters
(2002)
Article
Accés obertWe study the regularity with respect to parameters of the invariant manifolds associated to non-resonant subspaces obtained in the previous article [CFdlL00]. -
The parameterization method for invariant manifolds III: overview and applications
(2003)
Article
Accés obertWe describe a method to establish existence and regularity of invariant manifolds and, at the same time to find simple maps which are conjugated to the dynamics on them. The method establishes several invariant manifold ...