Normal form construction for nearly-integrable systems with dissipation

Author:

Celletti Aessandra,Lhotka Christoph

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. Arnol’d, V. I., Proof of a Theorem of A.N.Kolmogorov on the Invariance of Quasi-periodic Motions under Small Perturbations of the Hamiltonian, Uspekhi Mat. Nauk, 1963, vol. 18, no. 5, pp. 13–40 [Russian Math. Surveys, 1963, vol. 18, no. 5, pp. 9–36].

2. Beaugé, C. and Ferraz-Mello, S., Resonance Trapping in the Primordial Solar Nebula: The Case of a Stokes Drag Dissipation, Icarus, 1993, vol. 103, pp. 301–318.

3. Lecture Notes in Math.;H.W. Broer,1996

4. Calleja, R., Celletti, A., and de la Llave, R., KAM-Theory for Conformally Symplectic Systems, Preprint, 2011 (available on the Mathematical Physics Preprint Archive: mp arc 11-188).

5. Celletti, A., Stability and Chaos in Celestial Mechanics, Berlin: Springer, 2010.

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