Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Puntos fijos hiperbólicos de un difeomorfismo local del plano
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Alvarado Jiménez, W. (1995). Puntos fijos hiperbólicos de un difeomorfismo local del plano. Revista De Matemática: Teoría Y Aplicaciones, 2(2), 49–57. https://doi.org/10.15517/rmta.v2i2.118

Abstract

An extension of J. Palis’ λ-lemma is obtained for one case of non-transversal intersection of the stable and unstable manifolds of an hyperbolic fixed point of a C-local diffeomorphism of R2.

https://doi.org/10.15517/rmta.v2i2.118
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References

[Alvarado] W. Alvarado (1983) Gomokliniqeskie kontury avtonomnyh sistem differentsialnyh urabneni ̆i, dissertatsia, Leningradski ̆i Gosudarstvenni ̆i Universitet.

[Grobman] D. M. Grobman (1959) O gomeomorfizme sistem differentsialnyh uravneni ̆i, DAN SSSR, 128(5): 880–881.

[Ivanov] B. F. Ivanov (1979) K voprosu o sushestbovanii zamknutyh traektori ̆i v okrest-nosti gomokliniqesko ̆i krivo ̆i, Diff. Uravn., 15(8): 1411–1419.

[Hartman] P. Hartman (1960) “A lemma in the theory of structural stability of differential equations”, Proc. Amer. Math. Soc. 11: 610–620.

[Palis] J. Palis, “On Morse-Smale dynamical systems”,Topology 8(4): 385-404.

[Palis-de Melo] J. Palis, W. de Melo (1979) Introdução aos sistemas dinâmicos, IMPA, Rio de Janeiro.

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Copyright (c) 1995 William Alvarado Jiménez

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