Author:
Kaczynski Tomasz,Mrozek Marian
Abstract
AbstractA new shorter proof of the existence of index pairs for discrete dynamical systems is given. Moreover, the index pairs defined in that proof are stable with respect to small perturbations of the generating map. The existence of stable index pairs was previously known in the case of diffeomorphisms and flows generated by smooth vector fields but it was an open question in the general discrete case.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. STABLE INDEX PAIRS FOR DISPERSIVE DYNAMICAL SYSTEMS;Bulletin of the Korean Mathematical Society;2011-01-31
2. Homotopy of Extremal Problems;DEGRUYTER SER NONLIN;2007-12-31
3. The Conley index over a phase space for discrete semidynamical systems;Topology and its Applications;2004-03
4. Shape index in metric spaces;Fundamenta Mathematicae;2003
5. Conley Index;Handbook of Dynamical Systems;2002