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The symplectic structure of rational Lax pair systems

โœ Scribed by O. Babelon; M. Talon

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
75 KB
Volume
257
Category
Article
ISSN
0375-9601

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โœฆ Synopsis

We consider dynamical systems associated to Lax pairs depending rationally on a spectral parameter. We show that we ลฝ . can express the symplectic form in terms of algebro-geometric data provided that the symplectic structure on L l is of Kirillov type. In particular, in this case the dynamical system is integrable.

๐Ÿ“œ SIMILAR VOLUMES

Symplectic Structure of Discrete Hamilto
Symplectic Structure of Discrete Hamiltonian Systems
โœ Yuming Shi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 68 KB

This paper is concerned with the symplectic structure of discrete nonlinear Hamiltonian systems. The results are related to an open problem that was first proposed by C. D. Ahlbrandt [J. Math. Anal. Appl. 180 (1993), 498-517] discussed elsewhere in the literature. But we give a different statement a