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

 

Book Code: NPcMhkf-PB5613

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