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Transient Behavior in the Lorenz Model : Volume 1, Issue 2 (09/12/2014)

By Kravtsov, S.

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Book Id: WPLBN0004020087
Format Type: PDF Article :
File Size: Pages 13
Reproduction Date: 2015

Title: Transient Behavior in the Lorenz Model : Volume 1, Issue 2 (09/12/2014)  
Author: Kravtsov, S.
Volume: Vol. 1, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Tsonis, A. A., Sugiyama, N., & Kravtsov, S. (2014). Transient Behavior in the Lorenz Model : Volume 1, Issue 2 (09/12/2014). Retrieved from

Description: Department of Mathematical Sciences, Atmospheric Science Group, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201–0413, USA. Dynamical systems like the one described by the three-variable Lorenz model may serve as metaphors for complexity in nature. When natural systems are perturbed by external forcing factors, they tend to relax back to their equilibrium conditions after the forcing has shut off. Here we investigate the behavior of such transients in the Lorenz model by studying its trajectories initialized far away from the asymptotic attractor. Perhaps somewhat surprisingly, these transient trajectories exhibit complex routes and, among other things, sensitivity to initial conditions akin to that of the asymptotic behavior on the attractor. Thus, similar extreme events may lead to widely different variations before the perturbed system returns back to its statistical equilibrium.

Transient behavior in the Lorenz model

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