تقرير
Stability in Chaos
| العنوان: | Stability in Chaos |
|---|---|
| المؤلفون: | Huber, Greg, Pradas, Marc, Pumir, Alain, Wilkinson, Michael |
| سنة النشر: | 2017 |
| المجموعة: | Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Chaotic Dynamics |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1707.04569 |
| رقم الأكسشن: | edsarx.1707.04569 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |