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Pattern Formation in Continuous and Coupled Systems, Guenter Ahlers, Kapil M.S. Bajaj, Martin Golubitsky, Dan Luss, Steven H. Strogatz

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About this book :-
Pattern Formation in Continuous and Coupled Systems written by Guenter Ahlers, Kapil M.S. Bajaj, Martin Golubitsky, Dan Luss, Steven H. Strogatz
This 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 beyond the proceedings by presenting a series of minireview articles that survey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERGING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Mathematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechanics) 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 century 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.

Book Detail :-
Title: Sync: How Order Emerges From Chaos
Edition:
Author(s): Guenter Ahlers, Kapil M.S. Bajaj, Martin Golubitsky, Dan Luss, Steven H. Strogatz
Publisher: The IMA Volumes in Mathematics and its Applications 115
Series:
Year: 1999
Pages: 323
Type: PDF
Language: English
ISBN: 978-1-4612-7192-5,978-1-4612-1558-5
Country: US
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About Author :-
The author Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He is the author of Sync and The Joy of x. He lives in Ithaca, New York.

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Book Contents :- Pattern Formation in Continuous and Coupled Systems written by Guenter Ahlers, Kapil M.S. Bajaj, Martin Golubitsky, Dan Luss, Steven H. Strogatz cover the following topics.
Foreword
Preface
Dedication to John David Crawford 1954-1998, Edgar Knobloch
Rayleigh-Benard convection with rotation at small Prandtl numbers, Guenter Ahlers and Kapil M.S. Bajaj
Chaotic intermittency of patterns in symmetric systems, Peter Ashwin
Heteroclinic cycles and phase turbulence, F.H. Busse and R.M. Clever
Hopf bifurcation in anisotropic systems, Gerhard Dangelmayr and Michael Wegelin
Heteroclinic cycles in symmetrically coupled systems, Michael Field
Symmetry and pattern formation in coupled cell networks, Martin Golubitsky and I an Stewart
Spatial hidden symmetries in pattern formation, M. Gabriela M. Gomes, Isabel S. Labouriau, and Eliana M. Pinho
Stability boundaries of the dynamic states in pulsating and cellular flames, Michael Gorman
A quantitative description of the relaxation of textured patterns, Gemunu H. Gunaratne
Forced symmetry breaking: theory and applications, Frederic Guyard and Reiner Lauterbach
Spatiotemporal patterns in electrochemical systems, J.L. Hudson
Memory effects and complex patterns in a catalytic surface reaction, R.Imbihl
Bursting mechanisms for hydro dynamical systems, E. Knobloch and J. M oehlis
Bifurcation from periodic solutions with spatiotemporal symmetry, Jeroen S. W. Lamb and Ian Melbourne
Resonant pattern formation in a spatially extended chemical system, Anna L. Lin, Valery Petrov, Harry L. Swinney, Alexandre Ardelea, and Graham F. Carey
Time-dependent pattern formation for two-layer convection, Y. Renardy and C. G. Stoltz
Localized structures in pattern-forming systems, Hermann Riecke
Pattern formation in a surface reaction with global coupling, Harm Hinrich Rotermund
Dynamical behavior of patterns with Euclidean symmetry, Bjorn Sandstede, Arnd Scheel, and Claudia Wulff
Pattern selection in a diffusion-reaction system with global or long-range interaction, Moshe Sheintuch and Olga Nekhamkina
Dynamics of kinks and vortices in Josephson-junction arrays, H.S.J. van der Zant and Shinya Watanabe
Josephson junction arrays: Puzzles and prospects, Kurt Wiesenfeld
List of Participants


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