Rigidity of the anomalous transport of the standard map to time dependent perturbation |
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| Institution: | 1. Dipartimento di Matematica Applicata, Università di Pisa, Via Bonanno Pisano 25/b 56126 Pisa, Italy;2. Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012, USA;3. Department of Physics, New York University, 2-4 Washington Place, New York, NY 10003, USA;1. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, Jiangsu, China;2. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, Jiangsu, China;1. School of Computer Science and Telecommunication, Jiangsu University, Zhenjiang, Jiangsu Province, PR China;2. School of Computer Science, Jilin Nomal University, Sipin, Jilin Province, PR China;3. School of Computer Science and Engineering, Changshu Institute of Technology, Suzhou, Jiangsu Province, PR China;1. College of Information & Communication Engineering, Harbin Engineering University, Harbin, China;2. Remote Sensing Signal and Image Processing Laboratory, Department of Computer Science and Electrical Engineering, University of Maryland, Baltimore County, Baltimore, MD 21250, USA;3. Center for Excellence in Signal and Image Processing, Department of Electronics and Electrical Engineering, University of Strathclyde, Glasgow G1 1XW, UK |
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| Abstract: | Superdiffusive anomalous transport in the standard map model can be especially strong for the cases of specially selected values of the control parameter, when a hierarchical set of islands has appeared. For these cases we introduce and study a notion of rigidity of the system with respect to a small periodic perturbation. It is shown that the kinetic properties of the system have a rigidity while the topology of the phase space is modified. |
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