Nonlinear Dynamics and Chaos

Covering one of the fastest growing areas of applied mathematics, Nonlinear Dynamics and Chaos: Second Edition, is a fully updated edition of this highly respected text. Covering a breadth of topics, ranging from the basic concepts to applications in the physical sciences, the book is highly illustrated and written in a clear and comprehensible style.
∗ Provides a self–contained introduction to the theory and applications of nonlinear dynamics and chaos.
∗ Introduces the concepts of instabilities, bifurcations, and catastrophes.
∗ Each idea is carefully explained and supported by examples.
∗ Features many applications to a wide variety of scientific fields.
∗ Includes an illustrated glossary of geometrical dynamics.
∗ Features a supplementary bibliography of further reading.
∗ Assumes minimal background knowledge.
Nonlinear Dynamics and Chaos: Second Edition provides an excellent introduction to the subject for students of mathematics, engineering, physics and applied science. It will also appeal to the many researchers who work with computer models of systems that change over time.

Spis treści:
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 str ucture
Chaotic motions of an impacting system
Escape from a potential well
Appendix.
Illustrated Glossary.
Bibliography.
Online Resource.
Index.

Okładka tylna:
Covering one of the fastest growing areas of applied mathematics, Nonlinear Dynamics and Chaos: Second Edition, is a fully updated edition of this highly respected text. Covering a breadth of topics, ranging from the basic concepts to applications in the physical sciences, the book is highly illustrated and written in a clear and comprehensible style.
∗ Provides a self–contained introduction to the theory and applications of nonlinear dynamics and chaos.
∗ Introduces the concepts of instabilities, bifurcations, and catastrophes.
∗ Each idea is carefully explained and supported by examples.
∗ Features many applications to a wide variety of scientific fields.
∗ Includes an illustrated glossary of geometrical dynamics.
∗ Features a supplementary bibliography of further reading.
∗ Assumes minimal background knowledge.
Nonlinear Dynamics and Chaos: Second Edition provides an excellent introduction to the subject for students of mathematics, engineering, physics and applied science. It will also appeal to the many researchers who work with computer models of systems that change over time.