The Symmetry of Chaos

Inbunden, Engelska, 2007

1 531 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2007-05-17
Mått:236 x 160 x 33 mm
Vikt:899 g
Format:Inbunden
Språk:Engelska
Antal sidor:560
Förlag:OUP USA
ISBN:9780195310658

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Recensioner i media

"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

Innehållsförteckning

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