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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Center type performance of differentiable vector fields in the plane


Author: Roland Rabanal
Journal: Proc. Amer. Math. Soc. 137 (2009), 653-662
MSC (2000): Primary 34C25; Secondary 34A99
Published electronically: September 10, 2008
MathSciNet review: 2448587
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Abstract: Suppose that $ X$ is a planar vector field whose linearization outside some compact set is nonsingular and has pure imaginary spectrum. Then by adding to $ X$ 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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Additional Information

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

DOI: http://dx.doi.org/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
Published electronically: September 10, 2008
Dedicated: Dedicato a Lê Dũng Tráng per il suo sessantesimo compleanno
Communicated by: Bryna Kra
Article copyright: © Copyright 2008 American Mathematical Society