Titlebook: Dynamics of Circle Mappings; Edson de Faria,Pablo Guarino Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), und

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ts look exactly the same. There are only two possible behaviours for such orbits. Either they are all dense on the circle, or else they are all periodic with the same period. This dichotomy can be read off from the angle by which points on the circle are rotated. The ratio of this angle to a full turn is called the ..

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https://doi.org/10.1007/978-3-8274-2908-7answer Question .: let . be a topological conjugacy between two multicritical circle maps, say . and ., and assume that . identifies each critical point of . with a corresponding critical point of . having the same criticality.

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Lecture Notes in Electrical Engineering a seminal paper published in 1932, Denjoy (J. Math. Pure et Appl 11:333–375, 1932) proved that every sufficiently smooth circle diffeomorphism . without periodic points is topologically equivalent to an irrational rotation. Here, the expression “sufficiently smooth” means that . is . and . is a fun

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Edson de Faria,Pablo GuarinoExplores recent developments of invertible circle maps in one-dimensional dynamics.Focuses on global diffeomorphisms and smooth homeomorphisms with critical points.Aimed at graduate students and young

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