Nonlinear Dynamics and Chaos, 2nd EditionISBN: 978-0-471-87645-8
Hardcover
460 pages
February 2002
This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 10-15 days delivery time. The book is not returnable.
Other Available Formats: Paperback
|
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.
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.