Correlation decay for an intermittent area-preserving map |
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| Institution: | 1. Istituto Nazionale di Fisica della Materia, Unità di Milano, INFN, Sezione di Milano, Milan, Italy;2. Istituto di Scienze Matematiche, Fisiche e Chimiche, Via Lucini 3, I-22100 Como, Italy;1. Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, 464-8602, Japan;2. Keio Institute of Pure and Applied Sciences (KiPAS), Department of Mathematics, Keio University, Yokohama, 223-8522, Japan;1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, PR China;2. College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo, 315107, Zhejiang, PR China;3. Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu, PR China;4. Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu, PR China;5. Center for Dynamical Systems and Differential Equations, Soochow University, Suzhou 215006, Jiangsu, PR China;1. Department of Mathematics, National Institute of Technology Rourkela, Odisha, 769008, India;2. Radiological Physics and Advisory Division, Bhabha Atomic Research Centre, Mumbai, 400 094, India |
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| Abstract: | We consider an area-preserving map which is almost everywhere hyperbolic, with a single marginal fixed point. Correlation decay is studied both by direct simulation of autocorrelations of smooth observables and by recurrence statistics on longer time scales. While on the time scale on which correlations are observed directly results are consistent with exponential relaxation, a transition to power-law is observed in the “sticking” times statistics. |
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