Weak Chaos and Quasi-Regular Patterns

This is a paperback edition of the first title in the Cambridge Nonlinear Science Series.

Georgin Moiseevich Zaslavskiî (Author), R. Z. Sagdeev (Author), D. A. Usikov (Author), A. A. Chernikov (Author), A. R. Sagdeeva (Translated by)

9780521438285, Cambridge University Press

Paperback, published 6 August 1992

268 pages, 177 b/w illus.
23.4 x 15.2 x 1.8 cm, 0.54 kg

'This book contains information that will benefit both students and researchers in many areas of physics, mathematics and other sciences who are working on problems in chaos, statistical mechanics, spatial patterns, symmetries, etc.' Contemporary Physics

This book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour. The authors' treatment of transitions to chaos, the theory of stochastic layers and webs, and the numerous applications of this theory, particularly to pattern symmetry, will make the book of importance to scientists from many disciplines.The authors have been meticulous in providing a detailed presentation of the material, enabling the reader to learn the necessary computational methods and to apply them in other problems. The inclusion of a significant amount of computer graphics is also an important aid to understanding. The final section of the book contains a fascinating collection of patterns in art and living nature. The book will be of interest to graduate students and researchers in physics and mathematics who are interested in problems of chaos, irreversibility, statistical mechanics and theories of spatial patterns and symmetries. The perhaps unconventional links between chaos theory and other topics make the book particularly interesting.

Part I. General Concepts: Hamiltonian dynamics
Stability and chaos
Part II. Dymanic Order and Choas: The stochastic layer
Stochastic layer - stochastic sea transition
The stochastic web
Uniform web
Part III. Spatial Patterns: Two-dimensional patterns with quasi-symmetry
Two-dimensional hydrodynamic patterns with symmetry and quasi-symmetry
Chaos and streamlines
Part IV. Miscellanea: Patterns in art and nature
References
Index.

Subject Areas: Chaos theory [PBWS]