Normal form theory for volume preserving maps

Author:

Bazzani A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference17 articles.

1. Thyagaraja, A. and Haas, F. A.,Representation of volume-preserving maps induced by solenoidal vector fields, Phys. Fluids,28, 1005?1007 (1985); Bazzani, A. and Turchetti, G.,Analisi di superfici magnetiche in geometria toroidale, Atti Sem. Mat. Fis. Un. Modena,37, 157 (1989).

2. Birkhoff, G. D., Acta Math.,43, 1?119 (1920).

3. Nekhoroshev, N. N.: Russ. Math. Surv.,32, 1?65 (1977).

4. Kolmogorov, A. N.,Théorie générale des systèmes dynamiques et mécanique classique, Proc. Int. Congress of Math., Amsterdam 1957; Arnold, V. I.,Proof of A. N. Kolmogorov's theorem on the preservation of quasiperiodic motions under small perturbations of the Hamiltonian, Usp. Mat. Nauk SSSR 18,5, 13?40 (1963);

5. Moser, J.,On invariant curves of area preserving mappings of an annulus. Nachr. Akad. Wiss., Göttingen, Math. Phys. Kl., 1?20 (1962).

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