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Nonlinear Dynamics and Chaos by JMT Thompson & HB Stewart 1989 Vintage Hardcover

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Notas del vendedor
“No markings or damage. Normal wear. See photos.”
Educational Level
Adult & Further Education
Features
Reprinted With Corrections 1987
Country/Region of Manufacture
United Kingdom
ISBN
9780471909606

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Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471909602
ISBN-13
9780471909606
eBay Product ID (ePID)
1020387

Product Key Features

Number of Pages
392 Pages
Publication Name
Nonlinear Dynamics and Chaos : Geometrical Methods for Engineers and Scientists
Language
English
Subject
Chaotic Behavior in Systems, Mechanics / Dynamics, Mathematical Analysis
Publication Year
1986
Type
Textbook
Subject Area
Mathematics, Science
Author
J. M. T. Thompson, H. B. Stewart
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
26.1 Oz
Item Length
9.4 in
Item Width
6.2 in

Additional Product Features

Edition Number
1
Intended Audience
Scholarly & Professional
LCCN
85-029482
Dewey Edition
19
Illustrated
Yes
Dewey Decimal
531/.11
Table Of Content
Introduction. BASIC CONCEPTS OF NONLINEAR DYNAMICS. An Overview of Nonlinear Phenomena. Point Attractors in Autonomous Systems. Limit Cycles in Autonomous Systems. Periodic Attractors in Driven Oscillators. Chaotic Attractors in Forced Oscillators. Stability and Bifurcations of Equilibria and Cycles. ITERATED MAPS AS DYNAMICAL SYSTEMS. Stability and Bifurcation of Maps. Chaotic Behaviour of One and Two-Dimensional Maps. FLOWS, OUTSTRUCTURES AND CHAOS. The Geometry of Recurrence. The Lorenz System. Rossler's Band. Geometry of Bifurcations. APPLICATIONS IN THE PHYSICAL SCIENCES. Subharmonic Resonances of an Off-Shore Structure. Chaotic Motions of An Impacting System. The Particle Accelerator and Beam-Beam Interaction. Experimental Observations of Order and Chaos (H. L. Swinney). Bibliography. Index.
Synopsis
Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists J. M. T. Thompson, FRS, University College, London H. B. Stewart, Brookhaven National Laboratory This book is the first comprehensive, systematic account of nonlinear dynamics and chaos, one of the fastest-growing disciplines of applicable mathematics. It is highly illustrated and written in a clear, comprehensible style, progressing gently from the most elementary to the most advanced ideas while requiring little previous knowledge of mathematics. Examples of applications to a wide variety of scientific fields introduce concepts of instabilities, bifurcations and catastrophes, and particular attention is given to the vital new ideas of chaotic behaviour and unpredictability in deterministic systems. This is a book for systems analysts, for mathematicians, and for all those in any field of science or technology who use computers to model systems which change over time. Contents Preface 1 Introduction Part I Basic Concepts of Nonlinear Dynamics 2 An overview of nonlinear phenomena; 3 Point attractors in autonomous systems; 4 Limit cycles in autonomous systems; 5 Periodic attractors in driven oscillators; 6 Chaotic attractors in forced oscillators; 7 Stability and bifurcations of equilibria and cycles Part II Iterated Maps as Dynamical Systems 8 Stability and bifurcation of maps; 9 Chaotic behaviour of one- and two-dimensional maps Part III Flows, Outstructures, and Chaos 10 The geometry of recurrence; 11 The Lorenz system; 12 Rössler's band; 13 Geometry of bifurcation Part IV Applications in the Physical Sciences 14 Subharmonic resonances of an offshore structure; 15 Chaotic motions of an impacting system; 16 The particle accelerator and Hamiltonian dynamics; 17 Experimental observations of order and chaos References and Bibliography Index, Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists J. M. T. Thompson, FRS, University College, London H. B. Stewart, Brookhaven National Laboratory This book is the first comprehensive, systematic account of nonlinear dynamics and chaos, one of the fastest-growing disciplines of applicable mathematics. It is highly illustrated and written in a clear, comprehensible style, progressing gently from the most elementary to the most advanced ideas while requiring little previous knowledge of mathematics. Examples of applications to a wide variety of scientific fields introduce concepts of instabilities, bifurcations and catastrophes, and particular attention is given to the vital new ideas of chaotic behaviour and unpredictability in deterministic systems. This is a book for systems analysts, for mathematicians, and for all those in any field of science or technology who use computers to model systems which change over time. Contents Preface 1 Introduction Part I Basic Concepts of Nonlinear Dynamics 2 An overview of nonlinear phenomena; 3 Point attractors in autonomous systems; 4 Limit cycles in autonomous systems; 5 Periodic attractors in driven oscillators; 6 Chaotic attractors in forced oscillators; 7 Stability and bifurcations of equilibria and cycles Part II Iterated Maps as Dynamical Systems 8 Stability and bifurcation of maps; 9 Chaotic behaviour of one- and two-dimensional maps Part III Flows, Outstructures, and Chaos 10 The geometry of recurrence; 11 The Lorenz system; 12 ROssler's band; 13 Geometry of bifurcation Part IV Applications in the Physical Sciences 14 Subharmonic resonances of an offshore structure; 15 Chaotic motions of an impacting system; 16 The particle accelerator and Hamiltonian dynamics; 17 Experimental observations of order and chaos References and Bibliography Index
LC Classification Number
QA871.T47 1986

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