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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

Ochiq kirishOlmos

Litsenziya: cc-by

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Annotatsiya

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.

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Mavzular

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

Identifikatorlar

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

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