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
Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.
Rezensionen / Stimmen
"... much more extensive than before." (The Mathematical Review, March 2004)
"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (International Journal of Environmental Analytical Chemistry, Vol.84, No.14 - 15, 10 - 20 December 2004)
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Editions-Typ
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-0-471-87684-7 (9780471876847)
Schweitzer Klassifikation
John Michael Tutill Thompson, born on 7 June 1937 in Cottingham, England, is an Honorary Fellow in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He is married with two children.
H. B. Stewart is the author of Nonlinear Dynamics and Chaos, 2nd Edition, published by Wiley.
Preface.
Preface to the First Edition.
Acknowledgements from the First Edition.
Introduction
PART I: 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
PART II ITERATED MAPS AS DYNAMICAL SYSTEMS
Stability and bifurcation of maps
Chaotic behaviour of one-and two-dimensional maps
PART III FLOWS, OUTSTRUCTURES AND CHAOS
The Geometry of Recurrence
The Lorenz system
Rosslers band
Geometry of bifurcations
PART IV APPLICATIONS IN THE PHYSICAL SCIENCES
Subharmonic resonances of an offshore structure
Chaotic motions of an impacting system
Escape from a potential well
Appendix.
Illustrated Glossary.
Bibliography.
Online Resource.
Index.
