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Rotation numbers of discontinuous orientation-preserving circle maps

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Publication:1410230
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DOI10.1023/A:1025644532200zbMath1026.37036OpenAlexW116638199MaRDI QIDQ1410230

Romain Brette

Publication date: 14 October 2003

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025644532200


zbMATH Keywords

rotation numbercircle mapsdiscontinuous dynamicsset-valued analysis


Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)


Related Items (7)

Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations ⋮ Structure of extremal trajectories of discrete linear systems and the finiteness conjecture ⋮ The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies ⋮ Randomization of Sharkovsky-type results on the circle ⋮ The link between coherence echoes and mode locking ⋮ Outer Billiards with Contraction: Attracting Cantor Sets ⋮ Hyperbolicity of renormalization for dissipative gap mappings




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