Center type performance of differentiable vector fields in the plane

Roland Rabanal

doi:10.1090/S0002-9939-08-09686-X

Center type performance of differentiable vector fields in the plane

Roland Rabanal

The Abdus Salam International Center for Theoretical Physics

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

6 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	653-662
Número de páginas	10
Publicación	Proceedings of the American Mathematical Society
Volumen	137
N.º	2
DOI	https://doi.org/10.1090/S0002-9939-08-09686-X
Estado	Publicada - feb. 2009
Publicado de forma externa	Sí

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title = "Center type performance of differentiable vector fields in the plane",

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.",

keywords = "Centers, Period annulus, Periodic solutions, Planar vector fields",

author = "Roland Rabanal",

year = "2009",

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AB - 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.

KW - Centers

KW - Period annulus

KW - Periodic solutions

KW - Planar vector fields

UR - https://www.scopus.com/pages/publications/77950527326

U2 - 10.1090/S0002-9939-08-09686-X

DO - 10.1090/S0002-9939-08-09686-X

M3 - Article

AN - SCOPUS:77950527326

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JO - Proceedings of the American Mathematical Society

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Center type performance of differentiable vector fields in the plane

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