On the persistence of lower dimensional invariant tori under quasi-periodic perturbations

From MaRDI portal
Publication:1381175

DOI10.1007/s003329900036zbMath0898.58044OpenAlexW1963992485MaRDI QIDQ1381175

Jordi Villanueva, Àngel Jorba

Publication date: 25 October 1998

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/1218



Related Items

A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map, Persistence of lower dimensional tori of general types in Hamiltonian systems, A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems, Dynamical Organization of Recollisions by a Family of Invariant Tori, A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems, Preservation and destruction of periodic orbits by symplectic integrators, Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case, Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation, Existence of quasi-periodic solutions of the real pendulum equation, Strands and braids in narrow planetary rings: a scattering system approach, Quasi-periodic solutions in a nonlinear Schrödinger equation, Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method, Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems, On the reducibility of a class of nonlinear periodic Hamiltonian systems with degenerate equilibrium, Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem, On the reducibility of a class of quasi-periodic Hamiltonian systems with small perturbation parameter near the equilibrium, Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field, Transport and invariant manifolds near \(L_3\) in the Earth-Moon bicircular model, A geometrical method for the approximation of invariant tori, Dynamics around simple resonant tori in nearly integrable Hamiltonian systems, A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems, The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem, The dynamics around the collinear equilibrium points of the RTBP, Degenerate lower-dimensional tori in Hamiltonian systems, Quasiperiodic dynamics in Hamiltonian \(1\frac{1}{2}\) degree of freedom systems far from integrability, Leaving the moon by means of invariant manifolds of libration point orbits, Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem, Low-fuel transfers from Mars to quasi-satellite orbits around phobos exploiting manifolds of tori, Existence of whiskered KAM tori of conformally symplectic systems, Phase-space volume of regions of trapped motion: Multiple ring components and arcs, Using invariant manifolds to capture an asteroid near the \(L_3\) point of the Earth-Moon bicircular model, Dynamics in the center manifold of the collinear points of the restricted three-body problem, The quasi-periodic centre-saddle bifurcation, Global structure of regular tori in a generic 4D symplectic map, Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem, Chaotic orbits in a restricted three-body problem: numerical experiments and heuristics, Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods, The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system