The Symmetry of Chaos

Robert Gilmore, Christophe Letellier (Autoren)

Buch | Hardcover

560 Seiten

2007
Oxford University Press Inc (Verlag)
978-0-19-531065-8 (ISBN)

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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.

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

Erscheint lt. Verlag	17.5.2007
Zusatzinfo	307 line illus.
Verlagsort	New York
Sprache	englisch
Maße	236 x 160 mm
Gewicht	899 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
ISBN-10	0-19-531065-9 / 0195310659
ISBN-13	978-0-19-531065-8 / 9780195310658
Zustand	Neuware