Invariant tori for periodically perturbed oscillators
نویسندگان
چکیده
منابع مشابه
Invariant Tori for Periodically Perturbed Oscillators
The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system o...
متن کاملInvariant Tori of Dissipatively Perturbed Hamiltonian Systems under Symplectic Discretization
In a recent paper, Stooer showed that weakly attractive invariant tori of dissipative perturbations of integrable Hamiltonian systems persist under symplectic numerical discretizations, under a very weak restriction on the step size. Stooer's proof works directly with the discrete scheme. In this note we show how such a result, together with approximation estimates, can be obtained by combining...
متن کاملAsymptotic invariant tori of perturbed two-body problems
This paper deals with the asymptotic approximation of invariant tori, periodic and quasi-periodic orbits of perturbations of the planar and spatial two-body problems. For that we make use of different types of normalisations and reduction theory. © 2005 Elsevier Ltd. All rights reserved. MSC: 70F15; 34K17; 34K19
متن کاملPeriodically kicked hard oscillators.
A model of a hard oscillator with analytic solution is presented. Its behavior under periodic kicking, for which a closed form stroboscopic map can be obtained, is studied. It is shown that the general structure of such an oscillator includes four distinct regions; the outer two regions correspond to very small or very large amplitude of the external force and match the corresponding regions in...
متن کاملConstructive invariant theory for tori
© Annales de l’institut Fourier, 1993, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/), implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1997
ISSN: 0214-1493
DOI: 10.5565/publmat_41197_04