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A strong uniqueness theorem for planar vector fields

✍ Scribed by S. Berhanu; J. Hounie

Publisher: Springer
Year: 2001
Tongue: English
Weight: 800 KB
Volume: 32
Category: Article
ISSN: 1678-7714
DOI: 10.1007/bf01233672

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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