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

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	653-662
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-08-09686-X
State	Published - Feb 2009
Externally published	Yes

Keywords

Centers
Period annulus
Periodic solutions
Planar vector fields

Access to Document

10.1090/S0002-9939-08-09686-X

Cite this

@article{307f32baf6de4fa1b02a5825c806164b,

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",

month = feb,

doi = "10.1090/S0002-9939-08-09686-X",

language = "English",

volume = "137",

pages = "653--662",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

number = "2",

}

TY - JOUR

T1 - Center type performance of differentiable vector fields in the plane

AU - Rabanal, Roland

PY - 2009/2

Y1 - 2009/2

N2 - 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.

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

SN - 0002-9939

VL - 137

SP - 653

EP - 662

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Center type performance of differentiable vector fields in the plane

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this