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Hamiltonian structures for smooth vector fields

✍ Scribed by Henry D.I. Abarbanel; A. Rouhi


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
550 KB
Volume
124
Category
Article
ISSN
0375-9601

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We study the dynamical behaviour of polynomial hamiltonian planar vector fields. Particularly we analyze the structure of finite and infinite critical points and we obtain the best upper bound of the number of centers and of the number of saddles that a system of this type can exhibit, depending on