Omega-limit sets for spiral maps

Autor:	Bruce Kitchens, Michał Misiurewicz
Rok vydání:	2010
Předmět:	Class (set theory) Applied Mathematics Mathematics::General Topology Fixed point Limit superior and limit inferior Homeomorphism Combinatorics Base (group theory) Discrete Mathematics and Combinatorics Countable set Family of sets Limit (mathematics) Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 27:787-798
ISSN:	1553-5231
DOI:	10.3934/dcds.2010.27.787
Popis:	We investigate a class of homeomorphisms of a cylinder, with all trajectories convergent to the cylinder base and one fixed point in the base. Let A be a nonempty finite or countable family of sets, each of which can be a priori an $\omega$-limit set. Then there is a homeomorphism from our class, for which A is the family of all $\omega$-limit sets.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7bfd6996f817ad174260f3a1f7252022 https://doi.org/10.3934/dcds.2010.27.787 Zobrazit plný text záznamu