NONLINEAR DYNAMICS AND CHAOS - GEOMETRICAL METHODS FOR ENGINEERS

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.

List of contents

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.

About the author

Michael Thompson ist Professor für Philosophie an der Universität Pittsburgh. Er war unter anderem Rockefeller Fellow am University Center for Human Values in Princeton und Burkhardt Fellow am Institute for Advanced Study ebendort.

Summary

Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. This revised edition provides new material, including a glossary and bibliography, as well as a generous supplement of new figures and illustrations.

Product details

• Authors: Stewart, Bruce Stewart, H B Stewart, H. B. Stewart, Thompson, J M Thompson, J M T Thompson, J. M. T. Thompson, J. M. T. (University College London Thompson, J. M. T. Stewart Thompson, J.m.t. Stewart Thompson, Jmt Thompson, Michael Thompson, THOMPSON J M T STEWART H B, Thompson J. M. T.
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Paperback / Softback
• Released: 19.12.2001
• EAN: 9780471876847
• ISBN: 978-0-471-87684-7
• No. of pages: 460
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Mathematik, Chaos, Mathematics, Applied Mathematics in Science, Mathematik in den Naturwissenschaften, Differential calculus and equations, Nichtlineare Dynamik