Research Catalog

Title

Dynamics and bifurcation of patterns in dissipative systems / edited by Gerhard Dangelmayr, Iuliana Oprea.

Publication

New Jersey ; London : World Scientific, [2004], ©2004.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Dangelmayr, G. (Gerhard), 1951-
• Oprea, Iuliana.

Description

xiii, 389 pages : illustrations; 25 cm.

Summary

"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."--BOOK JACKET.

Series Statement

World Scientific series on nonlinear science. Series B, Special theme issues and proceedings ; v. 12

Uniform Title

World Scientific series on nonlinear science. Series B, Special theme issues and proceedings ; v. 12.

Subject

• Pattern formation (Physical sciences)
• Bifurcation theory

Note

• This book emerged from a conference of the same name organized by the editors in May 2003 at Colorado State University.

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Symmetry and pattern formation in the visual cortex / M. Golubitsky, L.-J. Shiau and A. Torok -- 2. Matrix free approach in the numerica analysis of bifurcations and instabilities / E. L. Allgower, G. Dangelmayr, K. Georg and I. Oprea -- 3. Validity of the Ginzburg-Landau approximation in pattern forming systems with time periodic forcing / N. Breindl, G. Schneider and H. Uecker -- 4. Stability and bifurcation from relative equilibria and relative periodic orbits / P. Chossat -- 5. Rotating magnetoconvection with magnetostrophic balance / K. Julien, E. Knobloch and S. M. Tobias -- 6. Pattern formation on a sphere / P. C. Matthews -- 7. Convergence properties of Fourier mode representations of quasipatterns / A. M. Rucklidge -- 8. Phase diffusion and weak turbulence / J. Lega -- 9. Pattern formation and parametric resonance / D. Armbruster and T.-C. Jo -- 10. Mean flow effects in model equations for Faraday waves / S. Rudiger and J. M. Vega -- 11. Rogue waves and the Benjamin-Feir instability / C. M. Schober -- 12. Heterogeneous pacemakers in oscillatory media / M. Stich and A. S. Mikhailov -- 13. A finite-dimensional mechanism responsible for bursts in fluid mechanics / E. Knobloch -- 14. Biological lattice gas models / M. S. Alber, M. Kiskowski, Y. Jiang and S. Newman -- 15. A comparison of optimal low dimensional projections of a hurricane simulation / A. Fox, M. Kirby, J. Persing and M. Montgomery -- 16. Linear and nonlinear Nusselt number measurements during electroconvection of a liquid crystal / J. T. Gleeson -- 17. Characterizations of far from equilibrium structures using their contours / G. Nathan and G. H. Gunaratne -- 18. Dynamics near Robust heteroclinic cycles / J. Porter -- 19. Internal dynamics of intermittency / R. Sturman and P. Ashwin -- 20. Experiments with dictyostelium discoideum amoebae in different geometries / C. Voltz and E. Bodenschatz.

ISBN

9812389466

OCLC

• ocm58051341
• SCSB-5168332

Owning Institutions

Columbia University Libraries