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arXiv:1707.04569 [nlin.CD]AbstractReferencesReviewsResources

Stability in Chaos

Greg Huber, Marc Pradas, Alain Pumir, Michael Wilkinson

Published 2017-07-14Version 1

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.

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