Center type performance of differentiable vector fields in the plane

Rabanal, Roland

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

Center type performance of differentiable vector fields in the plane
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Proc. Amer. Math. Soc. 137 (2009), 653-662 Request permission

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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