The Dynamics Of Pattern
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The Dynamics Of Pattern
Author: Alexander B Ezersky
language: en
Publisher: World Scientific
Release Date: 2000-10-31
Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.
The Dynamics of Patterns
"This beautifully illustrated book brings together a remarkable array of pattern-forming phenomena The authors have assembled an impressive collection of striking photographs and computer-generated images, and the book would be worth buying for this alone the Appendix describing key experiments is a highlight. Here the authors outline the historical development of experiments in parametrically-excited patterns, thermal convection and diffusive chemical reactions." UK Nonlinear News, 2002
Pattern Formation and Dynamics in Nonequilibrium Systems
Author: Michael Cross
language: en
Publisher: Cambridge University Press
Release Date: 2009-07-16
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.