The structure of dendrites with the periodic point property

DOI10.3103/S1066369X11110053zbMath1263.37016MaRDI QIDQ1759193

Elena N. Makhrova

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic pointsdendritecontinuous map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (2)

Remarks on minimal sets on dendrites and finite graphs ⋮ Remarks on the existence of periodic points for continuous maps on dendrites

Cites Work

• Unnamed Item
• Properties of fixed point sets on dendrites
• The dynamics of monotone maps of dendrites
• $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card(End(X)) < c
• Dendrites with a closed set of end points

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