On the asymptotic properties of piecewise contracting maps

DOI10.1080/14689367.2015.1068274zbMath1365.37018arXiv1108.1501OpenAlexW2144262621MaRDI QIDQ2811255

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Publication date: 10 June 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1501

zbMATH Keywords

entropyrecurrenceattractorperiodic pointpiecewise contraction

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Cites Work

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• Dynamics of injective quasi-contractions
• CHAOS AND STABILITY IN A MODEL OF INHIBITORY NEURONAL NETWORK
• Piecewise contractions are asymptotically periodic
• Regulatory dynamics on random networks: asymptotic periodicity and modularity
• Dynamical complexity of discrete-time regulatory networks
• On the dynamics of quasi-contractions
• Paradoxical decompositions using Lipschitz functions

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