Dynamics of piecewise increasing contractions

DOI10.1112/blms.12577zbMath1527.37041arXiv2007.08014MaRDI QIDQ6133260

José Pedro Gaivão, Arnaldo Nogueira

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08014

zbMATH Keywords

Hausdorff dimensionaffine mapspartition of the interval

Mathematics Subject Classification ID

Partitions of sets (05A18) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

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• The effect of integrator leak in Sigma - Delta modulation
• A spectral decomposition of the attractor of piecewise-contracting maps of the interval
• On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations
• Complexity of injective piecewise contracting interval maps
• Asymptotic periodicity in outer billiards with contraction
• A piecewise contractive dynamical system and Phragmèn's election method

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