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Third-order generalization: A new approach to categorizing higher-order generalization

โœ Scribed by Richard Neville


Book ID
113815353
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
630 KB
Volume
71
Category
Article
ISSN
0925-2312

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A generalization of Franรงoise's algorith
โœ Ahmed Jebrane; Pavao Mardeลกiฤ‡; Michรจle Pelletier ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 293 KB

In [J. Differential Equations 146 (2) (1998) 320-335], Franรงoise gives an algorithm for calculating the first nonvanishing Melnikov function M of a small polynomial perturbation of a Hamiltonian vector field and shows that M is given by an Abelian integral. This is done under the condition that vani