The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible

DOI10.1007/BF02101236zbMath0839.58021arXivmath/9405216OpenAlexW1999236382MaRDI QIDQ1901812

Linda Keen, Charles Tresser, Adam Lawrence Epstein

Publication date: 26 November 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9405216

zbMATH Keywords

quasiconformal mappingsrotation intervalTeichmüller theoryone-dimensional dynamicsstandard family

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Teichmüller theory for Riemann surfaces (30F60) Low-dimensional dynamical systems (37E99) Quasiconformal mappings in the complex plane (30C62)

Related Items (8)

Rigidity of smooth critical circle maps ⋮ Complex a priori bounds revisited. ⋮ Double standard maps ⋮ Synchronization: the ratchet phenomenon ⋮ A Farey tree organization of locking regions for simple circle maps ⋮ An embedding of the Farey web in the parameter space of simple families of circle maps ⋮ Dynamics of multicritical circle maps ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps

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