Homeomorphisms of the circle with singularities of “break” type

DOI10.1070/RM1990v045n03ABEH002353zbMath0728.58030MaRDI QIDQ3352169

Elena B. Vul, Konstantin M. Khanin

Publication date: 1990

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsrotation numbercontinued fractionhomeomorphism of the circlemaps of the circle

Mathematics Subject Classification ID

Differential topology (57R99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Calculus on manifolds; nonlinear operators (58C99)

Related Items (5)

Piecewise linear models for the quasiperiodic transition to chaos ⋮ On the invariant measure of a piecewise-smooth circle homeomorphism of Zygmund class ⋮ On the singularity of the conjugation between piecewise-smooth circle homeomorphisms ⋮ Renormalization of circle diffeomorphisms with a break-type singularity ⋮ Piecewise smoothness of conjugate homeomorphisms of a circle with corners

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