Non-Gaussian Fluctuations of Local Lyapunov Exponents at Intermittency |
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Authors: | Sandip Datta Ramakrishna Ramaswamy |
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Institution: | (1) School of Physical Sciences, Jawaharlal Nehru University, New Delhi, 110 067, India |
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Abstract: | In intermittent dynamical systems, the distributions of local Lyapunov exponents are markedly non-Gaussian and tend to be asymmetric and fat-tailed. A comparative analysis of the different time-scales in intermittency provides a heuristic explanation for the origin of the exponential tails, for which we also obtain an analytic expression deriving from a more quantitative theory. Application is made to several examples of discrete dynamical systems displaying intermittent dynamics. |
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Keywords: | intermittency finite time Lyapunov exponents exponential tails |
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