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On Critical Circle Homeomorphisms with Infinite Number of Break Points

Akhtam DzhalilovTurin Polytechnic University, Kichik Halka Yuli 17, 100095 Tashkent, UzbekistanMohd Salmi Md NooraniSchool of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor Darul Ehsan, MalaysiaSokhobiddin AkhatkulovSchool of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor Darul Ehsan, Malaysia

Abstract and Applied Analysisjournal2014en

ABI

Annotatsiya

We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any two adjacent atoms of dynamical partition of a unit circle are comparable.

Mavzular

Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Nonlinear Dynamics and Pattern Formation

Identifikatorlar

DOI: 10.1155/2014/378742

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