Rotation sets and almost periodic sequences (CROSBI ID 226275)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Oertel-Jaeger, Tobias ; Passeggi, Alejandro ; Štimac, Sonja
engleski
Rotation sets and almost periodic sequences
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segment as well as non-convex and even plane-separating continua. This shows that the restriction which hold for rotation sets on the whole torus are not valid on minimal sets. The proof uses a construction of rotational horseshoes by Kwapisz to transfer the problem to a symbolic level, where the desired rotational behaviour is implemented by means of suitable irregular Toeplitz sequences.
Rotation sets ; minimal sets ; Toeplitz sequences ; almost periodic sequences
Rad je indeksirean i u slijedecim bazama: ProQuest ; Referativnyi Zhurnal.
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Podaci o izdanju
284 (1/2)
2016.
271-284
objavljeno
0025-5874
1432-1823
10.1007/s00209-016-1656-3