Pattern Formation in Continuous and Coupled Systems: A Survey Volume

Overview

This volume contains a number of mini-review articles authored by speakers and attendees at the IMA workshop on Pattern Formation in Continuous and Coupled Systems. Pattern formation has been studied intensively for most of this century by both experimentalists and theoreticians. This workshop focused on new directions in the patterns literature. The goals were to continue communication between these groups, and to familiarize a larger audience with some of the newer directions in the field. Systems that generate...

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Overview

This volume contains a number of mini-review articles authored by speakers and attendees at the IMA workshop on Pattern Formation in Continuous and Coupled Systems. Pattern formation has been studied intensively for most of this century by both experimentalists and theoreticians. This workshop focused on new directions in the patterns literature. The goals were to continue communication between these groups, and to familiarize a larger audience with some of the newer directions in the field. Systems that generate new types of pattern such as discrete coupled systems, systems with global coupling, and combustion experiments were stressed, as were new types of pattern. The mini-reviews in this volume are intended to be pointers to the current literature for researchers at all levels and therefore include extensive bibliographies. They are also intended to discuss why certain subjects are currently exciting and worthy of additional research.

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Product Details

  • ISBN-13: 9781461271925
  • Publisher: Springer New York
  • Publication date: 12/31/2012
  • Series: IMA Volumes in Mathematics and its Applications Series, #115
  • Edition description: Softcover reprint of the original 1st ed. 1999
  • Edition number: 1
  • Pages: 323
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.72 (d)

Table of Contents

Rayleigh-BĂ©nard convection with rotation at small Prandtl numbers.- Chaotic intermittency of patterns in symmetric systems.- Heteroclinic cycles and phase turbulence.- Hopf bifurcation in anisotropic systems.- Heteroclinic cycles in symmetrically coupled systems.- Symmetry and pattern formation in coupled cell networks.- Spatial hidden symmetries in pattern formation.- Stability boundaries of the dynamic states in pulsating and cellular flames.- A quantitative description of the relaxation of textured patterns.- Forced symmetry breaking: theory and applications.- Spatiotemporal patterns in electrochemical systems.- Memory effects and complex patterns in a catalytic surface reaction.- Bursting mechanisms for hydrodynamical systems.- Bifurcation from periodic solutions with spatiotemporal symmetry.- Resonant pattern formation in a spatially extended chemical system.- Time-dependent pattern formation for two-layer convection.- Localized structures in pattern-forming systems.- Pattern formation in a surface reaction with global coupling.- Dynamical behavior of patterns with Euclidean symmetry.- Pattern selection in a diffusion-reaction system with global or long-range interaction.- Dynamics of kinks and vortices in Josephson-junction arrays.- Josephson junction arrays: Puzzles and prospects.- List of Participants.

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