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Abelian Integrals in Non-symmetric Perturbation of Symmetric Hamiltonian Vector Field

โœ Scribed by J.M. Jebrane; H. Zoladek

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
309 KB
Volume
15
Category
Article
ISSN
0196-8858

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โœ Maylis Irigoyen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

The Problem of two fixed centres is an integrable Hamiltonian system. If one truncates the Taylor expansion of the potential of this problem (in the symmetric case) at any order 3, we prove that one obtains a system which does not admit any first integral, meromorphic and functionally independent of