The Open UniversitySkip to content
 

Persistent stability of a chaotic system

Huber, Greg; Pradas, Marc; Pumir, Alain and Wilkinson, Michael (2018). Persistent stability of a chaotic system. Physica A: Statistical Mechanics and its Applications, 492 pp. 517–523.

Full text available as:
[img]
Preview
PDF (Accepted Manuscript) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (913kB) | Preview
DOI (Digital Object Identifier) Link: https://doi.org/10.1016/j.physa.2017.10.042
Google Scholar: Look up in Google Scholar

Abstract

We report that trajectories of a one-dimensional model for inertial particles in a random velocity field can remain stable for a surprisingly long time, despite the fact that the system is chaotic. We provide a detailed quantitative description of this effect by developing the large-deviation theory for fluctuations of the finite-time Lyapunov exponent of this system. Specifically, the determination of the entropy function for the distribution reduces to the analysis of a Schrödinger equation, which is tackled by semi-classical methods. The system has generic instability properties, and we consider the broader implications of our observation of long-term stability in chaotic systems.

Item Type: Journal Item
Copyright Holders: 2017 Elsevier B.V.
ISSN: 0378-4371
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetPHY1125915National Science Foundation
Keywords: stochastic analysis methods; nonlinear dynamics and chaos; fluctuation phenomena; random processes; noise; Brownian motion; Butterfly Effect
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 52689
Depositing User: Marc Pradas
Date Deposited: 20 Dec 2017 11:55
Last Modified: 20 May 2019 20:12
URI: http://oro.open.ac.uk/id/eprint/52689
Share this page:

Metrics

Altmetrics from Altmetric

Citations from Dimensions

Download history for this item

These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU