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.
PART I - Instabilities, Bifurcation, and the Role of Symmetry
PART II - Localized Patterns, Waves, and Weak Turbulence
PART III - Modelling and Characterization of Spatio-Temporal Complexity
Readership: Graduate students in nonlinear applied mathematics and theoretical physics, as well specialists interested in pattern formation and nonlinear instabilities.
404pp Pub. date: Nov 2004
ISBN 981-238-946-6 US$68 / £41
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
Website: Nonlinear Science, Condensed Matter Physics, Applied Mathematics and Mathematical Physics