Global Saddles for Planar Maps

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Alarcón, B (Author) Other; Castro, SBSD (Author) FEP; Isabel S Labouriau (Author) FCUP

Journal

Title: Journal of Dynamics and Differential Equations

Vol. 30

Pages: 601-612

ISSN: 1040-7294

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00M-6EA

DOI: 10.1007/s10884-016-9561-3

Abstract (EN): We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of (Formula presented.)-symmetric maps, for which we obtain a similar result for (Formula presented.) homeomorphisms. Some applications to differential equations are also given. © 2016 Springer Science+Business Media New York

Language: English

Type (Professor's evaluation): Scientific