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    Pattern Formation in Continuous and Coupled Systems: A Survey Volume (IMA Volumes in Mathematics and its Applications) (Hardback) Edited by M. Golubitsky, Edited by Dan Luss, Edited by Steven H. Strogatz

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    DescriptionThis IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be- yond the proceedings by presenting a series of mini-review articles that sur- vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG- ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math- ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan- ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen- tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.


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    Title
    Pattern Formation in Continuous and Coupled Systems
    Subtitle
    A Survey Volume
    Authors and contributors
    Edited by M. Golubitsky, Edited by Dan Luss, Edited by Steven H. Strogatz
    Physical properties
    Format: Hardback
    Number of pages: 339
    Width: 160 mm
    Height: 239 mm
    Thickness: 15 mm
    Weight: 431 g
    Language
    English
    ISBN
    ISBN 13: 9780387988740
    ISBN 10: 0387988742
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    LC subject heading:
    B&T Modifier: Region of Publication: 01
    BIC subject category V2: PBW
    Ingram Subject Code: SE
    B&T Merchandise Category: SCI
    B&T General Subject: 710
    B&T Modifier: Continuations: 02
    B&T Modifier: Academic Level: 02
    DC21: 519.4
    Warengruppen-Systematik des deutschen Buchhandels: 16270
    BIC subject category V2: PBK
    BISAC V2.8: SCI012000, MAT034000, MED000000
    B&T Approval Code: A50720000
    DC22: 003/.85, 003.85
    LC subject heading:
    BISAC V2.8: SCI064000
    LC subject heading:
    LC classification: Q172.5.C45 P38 1999, QA1-939, QA299.6-433
    Thema V1.0: PBW, PBK
    Edition statement
    1999 ed.
    Illustrations note
    7 black & white tables, biography
    Publisher
    Springer-Verlag New York Inc.
    Imprint name
    Springer-Verlag New York Inc.
    Publication date
    01 August 1999
    Publication City/Country
    New York, NY
    Table of contents
    Rayleigh-Benard 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.