World Scientific Series on Nonlinear Science, Series B – Vol. 12
DYNAMICS AND BIFURCATION OF PATTERNS IN DISSIPATIVE SYSTEMS
edited by Gerhard Dangelmayr (Colorado
State University, USA) & Iuliana Oprea (Colorado State
University, USA & University of Bucharest, Romania)
Understanding the spontaneous formation and dynamics
of spatiotemporal patterns in dissipative nonequilibrium systems is one of the
major challenges in nonlinear science. This collection of expository papers and
advanced research articles, written by leading experts, provides an overview of
the state of the art. The topics include new approaches to the mathematical
characterization of spatiotemporal complexity, with special emphasis on the
role of symmetry, as well as analysis and experiments of patterns in a
remarkable variety of applied fields such as magnetoconvection, liquid
crystals, granular media, Faraday waves, multiscale biological patterns, visual
hallucinations, and biological pacemakers. The unitary presentations, guiding
the reader from basic fundamental concepts to the most recent research results
on each of the themes, make the book suitable for a wide audience.
Contents:
Analysis and Characterization of Spatiotemporal
Complexity
The Role of Symmetry in Pattern Formation and Pattern
Dynamics
Basic Mathematical and Numerical Problems in Pattern
Formation
Readership:
Graduate students in nonlinear applied mathematics and theoretical physics, as
well specialists interested in pattern formation and nonlinear instabilities.
Key Features
Ÿ
Provides an overview of
the state of the art in pattern formation, an exciting and fast-growing branch
of nonlinear dynamics
Ÿ
Focuses on key ideas,
new advances and open questions in the mathematical analysis of spatiotemporal
patterns in dissipative systems, and covers a broad spectrum of applied areas
Ÿ
The combination of
advanced research articles and articles with an expository component makes the
book suitable for a wide audience
398
pp Pub. date: Scheduled Winter 2004
981-238-946-6
Main Subject Classification: Nonlinear Science, Condensed Matter
Physics, Mathematical Modeling, Mathematical Physics and Fluid Mechanics
Keywords:
Pattern Formation; Nonlinear Dynamics; Dissipative Structures; Spatiotemporal
Complexity; Hydrodynamic Stability; Convection; Nonlinear Instabilities
Review
Vol B+ 20/04/2004
In-house
Editor: Lakshmi
Acquisitions
Editor: Approached by editor
SC/sj
Website: Nonlinear Science, Condensed Matter Physics, Applied
Mathematics and Mathematical Physics