Non-quadratic additional conserved quantities in Birkhoff normal forms-Reference-Cited by-同舟云学术

Non-quadratic additional conserved quantities in Birkhoff normal forms

Published:2006-10-03 Issue:1 Volume:96 Page:63-81
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celestial Mech Dyn Astr

Author:

Gaeta Giuseppe

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-006-9026-9.pdf

Reference31 articles.

1. Arnold V.I. (1988) Geometrical Methods in the theory of Ordinary Differential Equations. Springer, Berlin

2. Belitskii G.R. (2002) Local normal forms of C ∞ vector fields. Acta Appl. Math. 70, 23–41

3. Benettin G., Galgani L., Giorgilli A. (1984) A proof of the Kolmogorov theorem on invariant tori using canonical transformations defined by the Lie method. Nuovo Cimento B 79: 201

4. Broer H.W. (1981) Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. In: Rand D.A., Young L.S. (eds). Dynamical Systems and Turbulence. Lecture Notes in Mathematics. vol. 898. Springer, Berlin

5. Bruno A.D. (1989) Local Methods in the Theory of Differential Equations. Springer, Berlin

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