Stability in Chaos
Autor: | Huber, Greg, Pradas, Marc, Pumir, Alain, Wilkinson, Michael |
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Rok vydání: | 2017 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed quantitative description of this effect for a one-dimensional model of inertial particles in a turbulent flow using large-deviation theory. Specifically, the determination of the entropy function for the distribution of finite-time Lyapunov exponents reduces to the analysis of a Schr\"odinger equation, which is tackled by semi-classical methods. Comment: 6 pages, 4 figures |
Databáze: | arXiv |
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