Averaging in Hamiltonian systems with slowly varying parameters
作者： Tewfik Sari
DOI: 10.1007/978-1-4615-0199-2_9
关键词:
摘要: The aim of this paper is to describe the general averaging principle and discuss particular case single-frequency systems, systems with constant frequencies Hamiltonian systems. We show how stroboscopic method, which a method nonstandard perturbation theory differential equations, can be used in kind problems. give various examples illustrate simplicity effectiveness method.
springer.com
sci-hub.st 参考文章(7)
Ferdinand Verhulst, Jan A. Sanders, Averaging Methods in Nonlinear Dynamical Systems ,(1985)
Amos Gilat, Matlab, An Introduction With Applications ,(2003)
Smith, Donald R. , Jan., Singular-Perturbation Theory: An Introduction with Applications ,(2009)
Vladimir I. Arnold, Dynamical Systems III ,(1987)
Dan Kaminski, "Que sais-je ?" Toxicomanies, traitements, Actes de la journée d'Etudes organisée pour les 10 an d'Enaden. ,(1993)
Vladimir Igorevič Arnol'd, Mathematical Methods of Classical Mechanics ,(1974)
Donald R. Smith, Singular-perturbation theory ,(1985)