On a Very Steep Version of the Standard Map

DOI10.1080/10586458.2016.1226993zbMath1390.37102arXiv1609.07424OpenAlexW2524557565MaRDI QIDQ5374131

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Publication date: 9 April 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07424

zbMATH Keywords

stabilityswitched systemtwist map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems involving maps of the interval (37E05) Dynamical aspects of twist maps (37E40)

Cites Work

• Unnamed Item
• The visits to zero of a random walk driven by an irrational rotation
• On the local discrepancy of (\(n\alpha \))-sequences
• Pinball dynamics: unlimited energy growth in switching Hamiltonian systems
• Dynamics of some piecewise smooth Fermi-Ulam models
• Substitutions and 1/2-discrepancy of {n θ+ x}
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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