Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature

Field, Michael; Golubitsky, Martin

ISBN 10: 0198536895 / ISBN 13: 9780198536895

Edité par Oxford University Press, 1992

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Détails bibliographiques

Titre : Symmetry in Chaos: A Search for Pattern in ...

Éditeur : Oxford University Press

Date d'édition : 1992

Reliure : Hardcover

Etat : Very Good

Etat de la jaquette : Very Good

Edition : First Edition.

A propos de ce titre

Synopsis :

This volume illustrates the varied pictures that may be produced when the seemingly contradictory ideas of symmetry and chaos are combined. Unlike the more modernistic fractal art, the symmetric chaos pictures have a classical, familiar feel. To emphasize this point, many of the designs are accompanied by contrasting pictures from architecture, art and nature. The book is written in layman's terms, and attempts to explain, in an elementary fashion, the mathematical ideas on which the symmetric chaos pictures are based. A number examples of symmetric chaos in the real world are presented, including engineering problems, "chaotic trains" and the pattern formation in fluid turbulence.

Biographie de l'auteur:

Michael Field has been a Professor at the University of Houston since 1992. He received his PhD in mathematics from the University of Warwick in 1970. His research interests include ergodic theory, coupled cell systems, the geometric theory of dynamical systems with symmetry and the mechanisms whereby symmetry can lead to complex dynamics in low dimensional systems.

Martin Golubitsky is Distinguished Professor of Mathematics and Physical Sciences at the Ohio State University, where he serves as Director of the Mathematical Biosciences Institute. He received his PhD in Mathematics from M.I.T. in 1970 and has been Professor of Mathematics at Arizona State University (1979–83) and Cullen Distinguished Professor of Mathematics at the University of Houston (1983–2008). Dr Golubitsky works in the fields of nonlinear dynamics and bifurcation theory studying the role of symmetry in the formation of patterns in physical systems and the role of network architecture in the dynamics of coupled systems. He has co-authored four graduate texts, one undergraduate text, two nontechnical trade books, and over 100 research papers.