Stability in Chaos
Chaotic Dynamics
2017-07-17 v1
Abstract
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.
Cite
@article{arxiv.1707.04569,
title = {Stability in Chaos},
author = {Greg Huber and Marc Pradas and Alain Pumir and Michael Wilkinson},
journal= {arXiv preprint arXiv:1707.04569},
year = {2017}
}
Comments
6 pages, 4 figures