Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I-Reference-Cited by-同舟云学术

Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I

Published:1987-03 Issue:1 Volume:113 Page:87-103
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Benettin Giancarlo,Galgani Luigi,Giorgilli Antonio

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF01221399.pdf

Reference16 articles.

1. Rubin, H. Hungar, P.: Commun. Pure Appl. Math.10, 65 (1957)

2. Arnold, V. I.: Méthodes mathématiques de la mécanique classique Moscow: MIR 1976, p. 97

3. Gallavotti, G.: Meccanica elementare Boringhieri, Torino: 1980 [English edition: The elements of mechanics. Berlin, Heidelberg, New York: Spring 1983], Chap. 3.

4. Lecture Notes in Mathematics;F. Takens,1979

5. Van Kampen, N. G.: Elimination of fast variables. Phys. Rep.124, 69 (1985)

Cited by 75 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations;Journal of Mathematical Physics;2024-08-01

2. Balanced data assimilation for highly oscillatory mechanical systems;Communications in Applied Mathematics and Computational Science;2021-06-22

3. Exponential Stability in the Perturbed Central Force Problem;Regular and Chaotic Dynamics;2018-12

4. Freezing of Energy of a Soliton in an External Potential;Communications in Mathematical Physics;2016-01-19

5. Some Analytic Results on the FPU Paradox;Hamiltonian Partial Differential Equations and Applications;2015