Geodesic
Attractors with vanishing rotation number
Journal of the European Mathematical Society, Tome 13 (2011) no. 6, pp. 1569-1590 Cet article a éte moissonné depuis la source EMS Press

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Given an orientation-preserving homeomorphism of the plane, a rotation number can be associated with each locally attracting fixed point. Assuming that the homeomorphism is dissipative and the rotation number vanishes we prove the existence of a second fixed point. The main tools in the proof are Carathéodory prime ends and fixed point index. The result is applicable to some concrete problems in the theory of periodic differential equations.
DOI : 10.4171/jems/288
Classification : 37-XX, 34-XX, 00-XX
Keywords: Planar attractor, prime end, fixed point index, global asymptotic stability, invariant ray, periodic differential equation, extinction 
@article{JEMS_2011_13_6_a1,
     author = {Rafael Ortega and Francisco R. Ruiz del Portal},
     title = {Attractors with vanishing rotation number},
     journal = {Journal of the European Mathematical Society},
     pages = {1569--1590},
     year = {2011},
     volume = {13},
     number = {6},
     doi = {10.4171/jems/288},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/288/}
}
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Rafael Ortega; Francisco R. Ruiz del Portal. Attractors with vanishing rotation number. Journal of the European Mathematical Society, Tome 13 (2011) no. 6, pp. 1569-1590. doi: 10.4171/jems/288

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