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.
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.
Provides an overview of the state of the art in pattern formation, an exciting and fast-growing branch of nonlinear dynamics
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
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
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
Website: Nonlinear Science, Condensed Matter Physics, Applied Mathematics and Mathematical Physics