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Winding numbers for the supercritical sine circle map
Institution:1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany;2. Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore, Simrol, Indore, Madhya Pradesh 453552 India;1. Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Sofia Kovalevskaya str., 18, Ekaterinburg, 620108, Russia;2. Institute of Physics and Technology, Ural Federal University, Mira str., 19, Ekaterinburg, 620002, Russia;1. Department of Physics, Pukyong National University, Busan 48513, Republic of Korea;2. CCSS, Department of Physics and Astronomy, Seoul National University, Seoul 08826, Republic of Korea;3. Department of Physics and Astronomy, Sejong University, Seoul\n05006, Republic of Korea;4. Quantum Universe Center, Korea Institute for Advanced Study, Seoul\n02455, Republic of Korea
Abstract:The dependence of the winding number on the initial value and on the nonlinearity for the supercritical sine circle map is discussed. Analytical investigations and numerical results show that some scaling behavior for the winding number can be extracted.
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