Description
Book SynopsisNonlinear dynamics and chaos involves the study of apparently random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences.This second edition covers the latest research conducted in this area.
Trade Review"... 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)
Table of ContentsPreface.
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.
