Autor:	Huber, Greg, Pradas, Marc, Pumir, Alain, Wilkinson, Michael
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Chaotic Dynamics
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
Externí odkaz:	http://arxiv.org/abs/1707.04569 Zobrazit plný text záznamu View this record from Arxiv