Titlebook: Bifurcation, Symmetry and Patterns; Jorge Buescu,Sofia B. S. D. Castro,Isabel Salgado Book 2003 Springer Basel AG 2003 Hot Spot.Mathemati

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Rayleigh-Bénard Convection with Experimental Boundary Conditionses. Moreover, the final state of the system is also different since it depends on the details of the applied boundary conditions. A modified Rayleigh number is introduced that does remain constant even when the system is evolving, and solutions obtained with the standard formulation are compared with those obtained via the new one.

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2297-0215 e time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics..978-3-0348-9642-9978-3-0348-7982-8Series ISSN 2297-0215 Series E-ISSN 2297-024X

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H. Alfke,M. Kalinowski,H.-J. Wagnerporal chaotic patterns set in is presented and understood in terms of symmetry-breaking bifurcations in an .(2)-symmetric system. Special attention is paid to the strong spatial 1:2 resonance of the initially unstable modes with wavenumbers .=2 and .=4, which leads to bistability in the system

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Room, Equipment, Basic Techniques, SN. We show that such bifurcations can be interpreted as speciation events in which the dominant long-term behaviour is divergence into two species. Generically this divergence occurs by jump bifurcation - `punctuated equilibrium’ in the terminology of evolutionary biology. Despite the discontinuit

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Symmetry-Breaking as an Origin of Speciess the result of gradual accumulations of changes in body-plan and behaviour. Mayr asked why gene-flow failed to prevent speciation, and his answer was the classical allopatric theory in which a small founder population becomes geographically isolated and evolves independently of the main group. An a

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Bifurcation and Planar Pattern Formation for a Liquid Crystalfor spatially uniform states in the absence of external fields. Using equivariant bifurcation theory we classify (on the basis of symmetry considerations independent of the model) square and hexagonally periodic patterns that can arise when a homeotropic nematic state becomes unstable, perhaps as a