Nonlinear dynamical economics and chaotic motion
type: Item
instance of: scholarly article
title: Nonlinear dynamical economics and chaotic motion
zbMATH Open document ID: 0717.90001
published in: Lecture Notes in Economics and Mathematical Systems
publication date: 1993-06-05T00:00:00Z
review text: This is a useful monograph which presents the essential ideas of nonlinear dynamics with examples drawn from several fields of economic theory, not only business cycle theory. The introductory chapter discusses the roots of deterministic mechanical thinking. Further chapters include a presentation of the Poincaré-Bendixson-theorem and limit cycles with various applications. After a section on bifurcations, there follows an extensive account of chaotic dynamics in discrete and continuous time. A special chapter deals with numerical tools and tests to identify chaotic dynamics in time series. There is also a chapter on catastrophe theory. The exposition assembles theorems, usually without proof but with references to the sources where proofs can be found. The book is well readable, considering the difficulty of the subject.
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 91B84
Mathematics Subject Classification ID: 90-01
zbMATH DE Number: 194994
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: business cycle
zbMATH Keywords: limit cycles
zbMATH Keywords: bifurcations
zbMATH Keywords: chaotic dynamics
zbMATH Keywords: catastrophe theory
author: Hans-Walther Lorenz
reviewed by: Bertram Schefold
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 194994