Dynamics and Bifurcation of Patterns in Dissipative Systems

By: Gerhard Dangelmayr (Editor), Iuliana Oprea (Editor)

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Hardcover | 1 December 2003

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404 Pages

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23.3 x 16.1 x 2.6

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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.

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Non-Fiction Mathematics Applied Mathematics Chaos Theory Science Physics Science in General Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Booktopia Publisher Services

World Scientific Publishing

Symmetry and pattern formation in the visual cortex	p. 3
Matrix free approach in the numerica analysis of bifurcations and instabilities	p. 20
Validity of the Ginzburg-Landau approximation in pattern forming systems with time periodic forcing	p. 39
Stability and bifurcation from relative equilibria and relative periodic orbits	p. 58
Rotating magnetoconvection with magnetostrophic balance	p. 78
Pattern formation on a sphere	p. 102
Convergence properties of Fourier mode representations of quasipatterns	p. 124
Phase diffusion and weak turbulence	p. 143
Pattern formation and parametric resonance	p. 158
Mean flow effects in model equations for Faraday waves	p. 174
Rogue waves and the Benjamin-Feir instability	p. 194
Heterogeneous pacemakers in oscillatory media	p. 214
A finite-dimensional mechanism responsible for bursts in fluid mechanics	p. 231
Biological lattice gas models	p. 274
A comparison of optimal low dimensional projections of a hurricane simulation	p. 292
Linear and nonlinear Nusselt number measurements during electroconvection of a liquid crystal	p. 309
Characterizations of far from equilibrium structures using their contours	p. 319
Dynamics near Robust heteroclinic cycles	p. 329
Internal dynamics of intermittency	p. 357
Experiments with dictyostelium discoideum amoebae in different geometries	p. 373
Table of Contents provided by Blackwell. All Rights Reserved.

Dynamics and Bifurcation of Patterns in Dissipative Systems

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Hardcover

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