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Nonlinear Dynamics and Chaos

Librairie Eyrolles - Paris 5e
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Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos

J.M.T. Thompson, H.B. Stewart

438 pages, parution le 10/01/2002 (2eme édition)

Résumé

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos.
  • Expands on the bestselling, highly regarded first edition
  • A new chapter which will cover the new research in the area since first edition
  • Glossary of terms and a bibliography have been added
  • All figures and illustrations will be 'modernised'
  • Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics
  • Highly illustrated
  • Excellent introductory text, can be used for an advanced undergraduate/graduate course text
Contents

Introduction

Part I Basic Concepts of Nonlinear Dynamics

  1. An overview of nonlinear phenomena
  2. Point attractors in autonomous systems
  3. Limit cycles in autonomous systems
  4. Periodic attractors in driven oscillators
  5. Chaotic attractors in forced oscillators
  6. Stability and bifurcations of equilibria and cycles
Part II Iterated Maps as Dynamical Systems
  1. Stability and bifurcation of maps
  2. Chaotic behaviour of one-and two-dimensional maps
Part III Flows, Outstructures and Chaos
  1. The Geometry of Recurrence
  2. The Lorenz system
  3. Rosslers band
  4. Geometry of bifurcations
Part IV Applications in the Physical Sciences
  1. Subharmonic resonances of an offshore structure
  2. Chaotic motions of an impacting system
  3. Escape from a potential well
Appendix: Codimension 1 Bifurcations

Illustrated Glossary

Caractéristiques techniques

  PAPIER
Éditeur(s) Wiley
Auteur(s) J.M.T. Thompson, H.B. Stewart
Parution 10/01/2002
Édition  2eme édition
Nb. de pages 438
Format 15,2 x 22,8
Couverture Broché
Poids 649g
Intérieur Noir et Blanc
EAN13 9780471876847

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