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Pattern Formation in Continuous and Coupled Systems: A Survey Volume 1999 ed. [Kõva köide]

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  • Formaat: Hardback, 323 pages, kõrgus x laius: 235x155 mm, kaal: 1470 g, XVI, 323 p., 1 Hardback
  • Sari: The IMA Volumes in Mathematics and its Applications 115
  • Ilmumisaeg: 22-Jun-1999
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 0387988742
  • ISBN-13: 9780387988740
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  • Formaat: Hardback, 323 pages, kõrgus x laius: 235x155 mm, kaal: 1470 g, XVI, 323 p., 1 Hardback
  • Sari: The IMA Volumes in Mathematics and its Applications 115
  • Ilmumisaeg: 22-Jun-1999
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 0387988742
  • ISBN-13: 9780387988740
Teised raamatud teemal:
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. 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 to have extensive bibliographies. They are also intended to discuss why certain

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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Springer Book Archives
Foreword v Preface vii Dedication to John David Crawford 1954--1998 ix Edgar Knobloch Rayleigh-Benard convection with rotation at small Prandtl numbers 1(10) Guenter Ahlers Kapil M.S. Bajaj Chaotic intermittency of patterns in symmetric systems 11(14) Peter Ashwin Heteroclinic cycles and phase turbulence 25(8) F.H. Busse R.M. Clever Hopf bifurcation in anisotropic systems 33(16) Gerhard Dangelmayr Michael Wegelin Heteroclinic cycles in symmetrically coupled systems 49(16) Michael Field Symmetry and pattern formation in coupled cell networks 65(18) Martin Golubitsky Ian Stewart Spatial hidden symmetries in pattern formation 83(18) M. Gabriela M. Gomes Isabel S. Labouriau Eliana M. Pinho Stability boundaries of the dynamic states in pulsating and cellular flames 101(10) Michael Gorman A quantitative description of the relaxation of textured patterns 111(10) Gemunu H. Gunaratne Forced symmetry breaking: theory and applications 121(16) Frederic Guyard Reiner Lauterbach Spatiotemporal patterns in electrochemical systems 137(10) J.L. Hudson Memory effects and complex patterns in a catalytic surface reaction 147(10) R. Imbihl Bursting mechanisms for hydrodynamical systems 157(18) E. Knobloch J. Moehlis Bifurcation from periodic solutions with spatiotemporal symmetry 175(18) Jeroen S.W. Lamb Ian Melbourne Resonant pattern formation in a spatially extended chemical system 193(10) Anna L. Lin Valery Petrov Harry L. Swinney Alexandre Ardelea Graham F. Carey Time-dependent pattern formation for two-layer convection 203(12) Y. Renardy C.G. Stoltz Localized structures in pattern-forming systems 215(16) Hermann Riecke Pattern formation in a surface reaction with global coupling 231(18) Harm Hinrich Rotermund Dynamical behavior of patterns with Euclidean symmetry 249(16) Bjorn Sandstede Arnd Scheel Claudia Wulff Pattern selection in a diffusion-reaction system with global or long-range interaction 265(18) Moshe Sheintuch Olga Nekhamkina Dynamics of kinks and vortices in Josephson-junction arrays 283(20) H.S.J. van der Zant Shinya Watanabe Josephson junction arrays: Puzzles and prospects 303(8) Kurt Wiesenfeld List of Participants 311