On sensitive mappings of the interval

DOI10.1070/RM1982v037n02ABEH003915zbMath0511.28013MaRDI QIDQ4750064

Alexander M. Blokh

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

invariant measureperiodic pointsperiodic segmenthomintervalsensitive pointsensitive with respect to measuretopologically sensitive

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (13)

Detecting topological transitivity of piecewise monotone interval maps ⋮ Sensitivity of dendrite maps ⋮ TOPOLOGICAL ENTROPY IN THE SYNCHRONIZATION OF PIECEWISE LINEAR AND MONOTONE MAPS: COUPLED DUFFING OSCILLATORS ⋮ Dynamical properties of the shift maps on the inverse limit spaces ⋮ Positively ep-expansive dynamical systems ⋮ Topological entropy of Devaney chaotic maps ⋮ Possible jumps of entropy for interval maps ⋮ On the topological entropy of transitive maps of the interval ⋮ LOW-DIMENSIONAL COMBINATORIAL DYNAMICS ⋮ A splitting theorem for transitive maps ⋮ Sensitivity of set-valued discrete systems ⋮ Topological entropy of transitive dendrite maps ⋮ Mixing \(C^r\) maps of the interval without maximal measure.

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