Omega-limit sets for spiral maps | Zendy

Bruce Kitchens | Zendy; Michał Misiurewicz | Zendy

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Omega-limit sets for spiral maps

Author(s) -

Bruce Kitchens,

Michał Misiurewicz

Publication year - 2010

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2010.27.787

Subject(s) - countable set , homeomorphism (graph theory) , omega , limit (mathematics) , mathematics , class (philosophy) , base (topology) , a priori and a posteriori , pure mathematics , cylinder , set (abstract data type) , topology (electrical circuits) , spiral (railway) , discrete mathematics , combinatorics , mathematical analysis , physics , geometry , computer science , quantum mechanics , philosophy , epistemology , artificial intelligence , programming language

We investigate a class of homeomorphisms of a cylinder, with all tra- jectories convergent to the cylinder base and one fixed point in the base. Let be a nonempty finite or countable family of sets, each of which can be a priori an -limit set. Then there is a homeomorphism from our class, for which is the family of all -limit sets.

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