The Lyapunov exponent, a new methodological concept of unifying different views of complex systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 1013.37027
author: Norbert Schirra
publication date: 2001-09-26T00:00:00Z
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37-01
Mathematics Subject Classification ID: 01-XX
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 37C75
zbMATH DE Number: 1651857
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Floquet exponent
zbMATH Keywords: Lyapunov dimension
zbMATH Keywords: Kolmogorov Sinai entropy
zbMATH Keywords: causality
zbMATH Keywords: determinism
zbMATH Keywords: attractor
zbMATH Keywords: dynamical stability
zbMATH Keywords: structural stability
zbMATH Keywords: topological dimension
zbMATH Keywords: metric dimension
zbMATH Keywords: probalistic dimension
zbMATH Keywords: metric entropy
zbMATH Keywords: topological entropy
MaRDI profile type: Publication
title: The Lyapunov exponent, a new methodological concept of unifying different views of complex systems
review text: In this expository book to the history and application of some concepts and notions of the stability and dimension theory of dynamical systems in physics, the author gives a wide collection of well-known results and of many interesting historical remarks (including reprints of original publications). By its presentation, the book addresses mainly to nonmathematicians or to mathematicians with interest in the history of this field.
reviewed by: Norbert Koksch
description: scientific article; zbMATH DE number 1651857