Article

On Invariant Measure of the Circle Maps

Habibulla AkhadkulovUniversiti Kebangsaan MalaysiaMohd Salmi Md NooraniAkhtam DzhalilovTurin Polytechnic University, Kichik Halka yuli 17, Tashkent 100095, Uzbekistan

Journal of Physics Conference Seriesjournal2013en

ABI

Abstract

Let f be piecewise smooth circle homeomorphisms with break points and the rotation number ρ is irrational. We provide a necessary condition for the absolute continuity of f-invariant measure with respect to Lebesgue measure.

Topics

Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1088/1742-6596/435/1/012011

Citations and references

Cited by 015 references

Metrics — AkademScholar · Coming soon