Proceedings of the American Mathematical Society

Author(s): Roland Rabanal
Journal: Proc. Amer. Math. Soc. 137 (2009), 653-662.
MSC (2000): Primary 34C25; Secondary 34A99
Posted: September 10, 2008
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Abstract: Suppose that

is a planar vector field whose linearization outside some compact set is nonsingular and has pure imaginary spectrum. Then by adding to

a constant vector, one obtains center behavior at infinity: the flow is conjugate to a rotation flow outside some compact set.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 34C25, 34A99

Roland Rabanal
Affiliation: The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Email: rrabanal@ictp.it

DOI: 10.1090/S0002-9939-08-09686-X
PII: S 0002-9939(08)09686-X
Keywords: Planar vector fields, periodic solutions, centers, period annulus
Received by editor(s): February 11, 2008
Posted: September 10, 2008
Dedicated: Dedicato a Lê Dung Tráng per il suo sessantesimo compleanno
Communicated by: Bryna Kra
Copyright of article: Copyright 2008, American Mathematical Society

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