Produktdetaljer
Biografisk notat
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.
<p>"... much more extensive than before." (<i>The Mathematical Review</i>, March 2004)</p> <p>"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (<i>International Journal of Environmental Analytical Chemistry</i>, Vol.84, No.14 – 15, 10 – 20 December 2004)</p>
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
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.
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.
<p>"... much more extensive than before." (<i>The Mathematical Review</i>, March 2004)</p> <p>"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (<i>International Journal of Environmental Analytical Chemistry</i>, Vol.84, No.14 – 15, 10 – 20 December 2004)</p>
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
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.
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.
Produktdetaljer
Biografisk notat
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.