Polynomial entropy for interval maps and lap number

DOI10.1007/s12346-021-00456-yzbMath1468.37038OpenAlexW3135481687MaRDI QIDQ830148

José Barbosa Gomes, Mario Jorge Dias Carneiro

Publication date: 7 May 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00456-y

zbMATH Keywords

entropyinterval mapsquadratic familylap numberpolynomial entropy

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

Total variation of a curve under chaos on the real line and on a finite graph ⋮ Polynomial entropy and polynomial torsion for fibered systems ⋮ Polynomial entropy of Morse-Smale diffeomorphisms on surfaces ⋮ Rigidity and flexibility of polynomial entropy ⋮ Polynomial entropy of induced maps of circle and interval homeomorphisms ⋮ Polynomial entropy of nonautonomous dynamical systems for noncompact sets

Cites Work

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• Structure of mappings of an interval with zero entropy
• The periodic points of maps of the disk and the interval
• A polynomial bound for the lap number
• Polynomial entropy and expansivity
• Polynomial entropies and integrable Hamiltonian systems
• Density of hyperbolicity in dimension one
• Chaos on the Interval
• Entropy of piecewise monotone mappings
• On the Prevalence of Horseshoes
• Topics from One-Dimensional Dynamics

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