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Hernández Corbato, Luis ; Le Calvez , Patrice ; Romero Ruiz del Portal, Francisco | Geometry & Topology Publications, Univ Warwick, Mathematics Inst | 2013This article includes an almost self-contained exposition on the discrete Conley index and its duality. We work with a locally defined homeomorphism f in R-d and an acyclic continuum X, such as a cellular set or a fixed point, invariant under f [...]texto impreso
Hernández Corbato, Luis ; Ortega, Rafael ; Romero Ruiz del Portal, Francisco | Cambridge Univ Press | 2012Let h : R-2 -> R-2 be a dissipative and orientation preserving homeomorphism having an asymptotically stable fixed point. Let U be the region of attraction and assume that it is proper and unbounded. Using Caratheodory's prime ends theory one c[...]texto impreso
Hernández Corbato, Luis ; Romero Ruiz del Portal, Francisco | American Institute of Mathematical Sciences | 2015-07We characterize the sequences of fixed point indices {i(f(n) ,p)} n > = 1 of fixed points that are isolated as an invariant set for a continuous map f in the plane. In particular, we prove that the sequence is periodic and i(f(n) ,p) = 0. This[...]texto impreso
En esta Tesis Doctoral se han estudiado dos problemas de dinámica topológica. En el primer capítulo se examina la dinámica generada por homeomorfismos del plano que conservan orientación, son disipativos y tienen un punto fijo atractivo con regi[...]texto impreso
Blanco Gómez, Eduardo ; Hernández Corbato, Luis ; Romero Ruiz del Portal, Francisco | BIRKHAUSER VERLAG AG | 2016A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uniqueness theorem. Lefschetz zeta function is the main (and proved [...]
