Homoclinic classes for sectional-hyperbolic sets

Alexander Arbieto; Andrés Mauricio Lopez Barragán; Carlos Arnoldo Morales Rojas

doi:10.1215/21562261-3600157

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Home > Journals > Kyoto J. Math. > Volume 56 > Issue 3 > Article

September 2016 Homoclinic classes for sectional-hyperbolic sets

Alexander Arbieto, Andrés Mauricio Lopez Barragán, Carlos Arnoldo Morales Rojas

Kyoto J. Math. 56(3): 531-538 (September 2016). DOI: 10.1215/21562261-3600157

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Abstract

We prove that every sectional-hyperbolic Lyapunov stable set contains a nontrivial homoclinic class.

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Alexander Arbieto. Andrés Mauricio Lopez Barragán. Carlos Arnoldo Morales Rojas. "Homoclinic classes for sectional-hyperbolic sets." Kyoto J. Math. 56 (3) 531 - 538, September 2016. https://doi.org/10.1215/21562261-3600157

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Received: 3 September 2014; Revised: 20 January 2015; Accepted: 12 May 2015; Published: September 2016

First available in Project Euclid: 22 August 2016

MathSciNet: MR3542773

zbMATH: 1365.37030

Digital Object Identifier: 10.1215/21562261-3600157

Subjects:

Primary: 37D20

Secondary: 37C70

Keywords: flow , homoclinic class , sectional-hyperbolic set

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Kyoto J. Math.

Vol.56 • No. 3 • September 2016

Duke University Press

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Alexander Arbieto, Andrés Mauricio Lopez Barragán, Carlos Arnoldo Morales Rojas "Homoclinic classes for sectional-hyperbolic sets," Kyoto Journal of Mathematics, Kyoto J. Math. 56(3), 531-538, (September 2016)

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