|
|||||
|
|
Obstructions to the continuation of analytic integrals of Hamiltonian systems under non-Hamiltonian perturbations |
|
| Affiliation: | Department of Physics, University of Thessaloniki, Thessaloniki 54006, Greece;School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA;Department of Mathematics, University of Toronto, Toronto, Ontario, Canada;Université Paris-Saclay, Laboratoire de Mathématique d''Orsay, Bâtiment 307, 91405 Orsay, France;Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik, 06099 Halle (Saale), Germany |
| Abstract: | In this Letter we consider n degrees-of-freedom integrable Hamiltonian systems subjected to a non-Hamiltonian perturbation controlled by a small parameter ε. An obstruction to the analytic continuation of the integrals of motion of the unperturbed system with respect to ε is developed for sufficiently small perturbations. The theory is applied to a perturbed system of Morse oscillators. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |