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:
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.
Key Features
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