Local Lyapunov exponents in chaotic systems
type: Item
instance of: scholarly article
title: Local Lyapunov exponents in chaotic systems
zbMATH Open document ID: 0781.58024
DOI: 10.1016/0167-2789(93)90007-N
author: Bruno Eckhardt
author: Demin Yao
published in: Physica D
publication date: 1993-08-18T00:00:00Z
review text: The notion of local Lyapunov exponents (LLE) for dynamical systems is defined in the paper both for the systems with continuous time and for whose with discrete time. The results of the computer calculations of the LLE for some systems are discussed. Calculations are presented for the dissipative Lorenz system, conservative Chirikov-Taylor map, and for a 3D volume preserving flow. The results demonstrate that large fluctuations of the LLE's around the long time average for an unstable trajectory take place.
reviewed by: Yu. P. Virchenko
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 269572
zbMATH Keywords: chaotic system
zbMATH Keywords: Chirikov-Taylor map
zbMATH Keywords: kinematic dynamo
zbMATH Keywords: Lyapunov exponents
MaRDI profile type: Publication
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full work available at URL: 0167-2789(93)90007-n
OpenAlex ID: W2091144817
description: scientific article