The centre and the depth of the centre for continuous maps on dendrites with finite branch points

DOI10.1007/S12346-016-0204-1zbMath1390.37022OpenAlexW2432373764MaRDI QIDQ1641990

Hongjian Xi, Taixiang Sun

Publication date: 20 June 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-016-0204-1

zbMATH Keywords

depthdendrite map

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (8)

Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map ⋮ Recurrence and nonwandering sets of local dendrite maps ⋮ The centre and the depth of the centre for continuous maps on dendrites with unique branch point ⋮ The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite ⋮ The depths of the centres and the attracting centres of a class of dendrite maps ⋮ The depths and the attracting centres for continuous maps on a dendrite whose rank is finite ⋮ Remarks on the existence of periodic points for continuous maps on dendrites ⋮ Characteristic of pointwise-recurrent maps on a dendrite

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