Functional Rotation Numbers for One-Dimensional Maps

DOI10.2307/2154898zbMath0820.54018OpenAlexW4231769444MaRDI QIDQ4318458

Alexander M. Blokh

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2154898

zbMATH Keywords

interval mapsperiodic pointscircle mapsrotation numbers

Mathematics Subject Classification ID

Related Items (6)

Entropy of twist interval maps ⋮ Rotation, entropy, and equilibrium states ⋮ Rotation numbers for certain maps of an \(n\)-od ⋮ A shift map with a discontinuous entropy function ⋮ Ergodic optimization in dynamical systems ⋮ Over-rotation intervals of bimodal interval maps

Cites Work

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• Dynamical systems on one-dimensional branched manifolds. I
• Bifurcations and stability of families of diffeomorphisms
• Continuous maps of the circle without periodic points
• Ergodic theory on compact spaces
• Trees with snowflakes and zero entropy maps
• Decomposition of dynamical systems on an interval
• Primary Cycles on the Circle
• Rotation Sets for Maps of Tori
• Entropy of piecewise monotone mappings
• Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps
• Rotation sets are closed
• Combinatorial patterns for maps of the interval
• Simple Periodic Orbits of Mappings of the Interval
• Continuous Maps of the Interval with Finite Nonwandering Set
• Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval

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