On the set of periods for the Morse-Smale diffeomorphisms on the disc with n holes
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	For every homological class we present a complete description of the minimal Lefschetz set of periods for the Morse-Smale diffeomorphisms without periodic points in the boundary defined on the disc with n holes Dn for n = 1, 2, 3, 4, 5 by using the Lefschetz zeta function. The technical applied for obtaining these results also works for n > 5.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03679/MTM Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and JCCM (Junta de Comunidades de Castilla-La Mancha), grant number PEII09-0220-0222.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic point ; Minimal Lefschetz set of periods ; Morse-Smale diffeomorphism ; Disc with n holes ; Lefschetz number
Published in:	Journal of Difference Equations and Applications, Vol. 19 Núm. 7 (2013) , p. 1161-1173, ISSN 1563-5120

DOI: 10.1080/10236198.2012.722630

Postprint 11 p, 2.2 MB

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