Over-rotation intervals of bimodal interval maps

DOI10.1080/10236198.2020.1725495zbMath1468.37039arXiv1908.07635OpenAlexW3006802064MaRDI QIDQ4989349

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Publication date: 25 May 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07635

zbMATH Keywords

periodic orbitpatternover-rotation pairover-rotation number

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 (1)

Monotonicity of the over-rotation interval for bimodal maps

Cites Work

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• Bifurcations and stability of families of diffeomorphisms
• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• Badly ordered cycles of circle maps
• Ergodic theory on compact spaces
• Over-rotation numbers for unimodal maps
• Rotation Numbers for Monotone Functions on the Circle
• Lower bounds of the topological entropy for continuous maps of the circle of degree one
• Rotation Sets for Maps of Tori
• Rotation sets are closed
• On rotation intervals for interval maps
• Functional Rotation Numbers for One-Dimensional 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
• Twist systems on the interval
• Topological Entropy

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