Dynamical systems on one-dimensional branched manifolds. I

DOI10.1007/BF01095616zbMath0711.58024OpenAlexW4238933937MaRDI QIDQ923455

Alexander M. Blokh

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095616

zbMATH Keywords

periodic orbitsperiodic pointbasic sets\(\omega \) -limit setssolenoidal sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Low-dimensional dynamical systems (37E99)

Related Items (19)

Quasi-graphs, zero entropy and measures with discrete spectrum ⋮ The \(\omega\)-limit set of a graph map ⋮ The structure of graph maps without periodic points ⋮ Birkhoff centre and backward limit points ⋮ The structures of pointwise recurrent quasi-graph maps ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Li-Yorke chaos for dendrite maps with zero topological entropy and \(\omega\)-limit sets ⋮ On the spectrum of dynamical systems on trees ⋮ For graph maps, one scrambled pair implies Li-Yorke chaos ⋮ Recurrent points and non-wandering points of graph maps ⋮ Functional Rotation Numbers for One-Dimensional Maps ⋮ Graph maps whose periodic points form a closed set ⋮ Graph maps with zero topological entropy and sequence entropy pairs ⋮ \(\overline R= R \cup \overline P\) for graph maps ⋮ Local dendrite maps without periodic points ⋮ Structures of quasi-graphs and $\omega $-limit sets of quasi-graph maps ⋮ Some properties of circle maps with zero topological entropy ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps

Cites Work

• Decomposition of dynamical systems on an interval

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