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A note on higher order Melnikov functions

✍ Scribed by Ahmed Jebrane; Henryk Żolłądek


Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
207 KB
Volume
6
Category
Article
ISSN
1575-5460

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A generalization of Françoise's algorith
✍ Ahmed Jebrane; Pavao Mardešić; Michèle Pelletier 📂 Article 📅 2002 🏛 Elsevier Science 🌐 French ⚖ 293 KB

In [J. Differential Equations 146 (2) (1998) 320-335], Françoise 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