caa a22 4500 467986878 CHVBK 20180323112534.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF00048581 doi (NATIONALLICENCE)springer-10.1007/BF00048581 Henrard Jacques Département de mathématique FUNDP, 8, Rempart de la Vierge, 5000, Namur, Belgium aut A semi-numerical perturbation method for separable hamiltonian systems [Elektronische Daten] [Jacques Henrard] A detailed account is given of a semi-numerical perturbation method which has been proposed and improved upon in a succession of previous papers. The method analyses the first order effect of a small perturbation applied to a non-trivial two-degreeof-freedom separable Hamiltonian system (including the description of resonances) and construct approximate surfaces of section of the perturbed system. When the separable Hamiltonian system is already the description of a resonance, as it is the case in the problems we have investigated in the previous papers, these resonances are actually secondary resonances. The key role of the method is the numerical description of the angle-action variables of the separable system. The method is thus able to describe the perturbations of non-trivial separable systems and is not confined to the analysis of a small neigborhood of their periodic orbits. Kluwer Academic Publishers, 1990 Perturbation method nationallicence secondary resonance nationallicence action-angle variables nationallicence separable Hamiltonian system nationallicence surface of section nationallicence Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 49/1(1990-03-01), 43-67 0923-2958 49:1<43 1990 49 10569 https://doi.org/10.1007/BF00048581 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00048581 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Henrard Jacques Département de mathématique FUNDP, 8, Rempart de la Vierge, 5000, Namur, Belgium aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 49/1(1990-03-01), 43-67 0923-2958 49:1<43 1990 49 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer