Conformal symmetries of dynamical systems and Poincaré 1892 concept of iso-energetic non-degeneracy;Symétries conformes d'un système dynamique et la non-dégénérescence au sens iso-énergétique de Poincaré 1892

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 2, 1998, Pages 213-218

  Bogoyavlenskij, Oleg I ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031627119     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)89473-6     Document Type: Article

References (10)

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3. [3] Bogoyavlenskij O.I., Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures. Commun. Math. Phys. 180 (1996) 529-586.
4. [4] Bogoyavlenskij O.I.. Theory of tensor invariants of integrable Hamiltonian systems. II. Theorem on symmetries and its applications, Commun. Math. Phys. 184 (1997) 301-365.
5. [5] Fuchssteiner B., Mastersymmetries. higher order time-dependent symmetries and conserved densities of nonlinear evolution equations, Progr. Theoret. Phys. 70 (1983) 1508-1522.
6. [6] Jost R., Winkel-und Wirkungsvariable fur allgemeine mechanische systeme. Helv. Phys. Acta 41 (1968) 965-968.
7. [7] Kolmogorov A.N.. The general theory of dynamical systems and classical mechanics. In: Proc. Internat. Congress Math. 1954. I. North-Holland Publishing Co. Amsterdam, 1957, pp. 315-333.
8. [8] Liouville J.. Note sur l'intégration des équations différentielles de la Dynamique, J. Math. Pures Appl. 20 (1855) 137-138.
9. [9] Moser J., On invariant curves of area-preserving mappings of an annulus. Nachr. Akad. Wiss. Gottingen Math.-Phys. 1 (1962) 1-20.
10. [10] Poincaré H., Les méthodes nouvelles de la mécanique céleste, T I. Gauthier-Villars. Paris. 1892.