Forcing among patterns with no block structure

zbMath1430.37046arXiv1806.09147MaRDI QIDQ4967819

Michał Misiurewicz, Alexander M. Blokh

Publication date: 11 July 2019

Full work available at URL: https://arxiv.org/abs/1806.09147

zbMATH Keywords

cyclic patternsforcing relationSharkovsky order

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Rotation numbers and vectors (37E45)

Related Items (2)

Which cycles force uncountably many orbit-types? ⋮ Renormalization towers and their forcing

Cites Work

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• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• Dynamics in one dimension
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Over-rotation numbers for unimodal maps
• Periodic Orbits of Continuous Mappings of the Circle
• Combinatorial patterns for maps of the interval
• Rotating an interval and a circle
• Minor cycles for interval maps
• Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval
• New order for periodic orbits of interval maps
• COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF

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