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The Symmetry of Chaos Robert Gilmore (Professor, Physics Department, Professor, Physics Department, Drexel University)

The Symmetry of Chaos By Robert Gilmore (Professor, Physics Department, Professor, Physics Department, Drexel University)

Summary

Why have scientists, engineers, and mathematicians become intrigued by chaos? Chaos is about predictability in even the most unstable systems, and symmetry is a pattern of predictability - a conceptual tool to help understand complex behaviour. This book aims to treat this interplay between chaos and symmetry.

The Symmetry of Chaos Summary

The Symmetry of Chaos by Robert Gilmore (Professor, Physics Department, Professor, Physics Department, Drexel University)

Why have scientists, engineers, and mathematicians become intrigued by chaos? Chaos is about predictability in even the most unstable systems, and symmetry is a pattern of predictability - a conceptual tool to help understand complex behaviour. The Symmetry of Chaos treats this interplay between chaos and symmetry. This graduate textbook in physics, applied mathematics, engineering, fluid dynamics, and chemistry is full of exciting new material, illustrated by hundreds of figures. Nonlinear dynamics and chaos are relatively young fields, an in addition to serving textbook markets, there is a strong interest among researchers in new results in the field.

The Symmetry of Chaos Reviews

"The book's intended function as a state-of-the-art instructional text makes it a valuable addition to the collection of college and university libraries supporting undergraduate and graduate degree programs in mathematics and physics."---STREAMS

Table of Contents

Part I Examples and Simple Application 1: Introduction 2: Simple Symmetries 3: Image Dynamical Systems 4: Covers 5: Peeling Bifurcations 6: Three-Fold and Four-Fold covers 7: Multichannel Intermittency 8: Driven Two-Dimensional Dynamical Systems 9: Larger Symmetries Part II Mathematical Foundations 10: Group Theory Basics 11: Invariant Polynomials 12: Equivariant Dynamics in R N 13: Covering Dynamical Systems 14: Symmetries Due to Symmetry Part III Symmetry without Groups: Topology 15: symmetry without Groups: "Topological Symmetry" 16: All the Covers of the Horsehoe Appendix A A Potpourri of Equivariant Systems References Index

Additional information

NPB9780195310658
9780195310658
0195310659
The Symmetry of Chaos by Robert Gilmore (Professor, Physics Department, Professor, Physics Department, Drexel University)
New
Hardback
Oxford University Press Inc
2007-05-17
560
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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