Titlebook: Singularities and Groups in Bifurcation Theory; Volume II Martin Golubitsky,Ian Stewart,David G. Schaeffer Book 1988 Springer-Verlag New Yo

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生存環(huán)境

Symmetry-Breaking in Steady-State Bifurcation,tion of a compact Lie group Γ on . ?.. Steady-state solutions satisfy . 0; that is, . We focus here on the symmetries that a solution . may possess and in particular define some simple “geometric” notions that will prove to be of central importance.

rectum

,The Planar Bénard Problem,vitational field; motion occurs because hotter fluid is less dense and therefore tends to rise. In this Case Study we consider only carefully controlled laboratory experiments in which a horizontal layer of fluid is heated from below and the ensuing motion is observed. Of course, such experiments ar

Rinne-Test

FRAUD

古代

,The Traction Problem for Mooney—Rivlin Material,pontaneous symmetry-breaking and to describe the kinds of results that can be obtained by a singularity-theoretic analysis. This case study has a different aim: to present complete calculations supporting the singularity theory analysis of a specific bifurcation problem. The Rivlin cube is an ideal

全國(guó)性

laxative

Thyroid-Gland

Further Examples of Hopf Bifurcation with Symmetry,al group symmetry ., systems with .(3) symmetry (corresponding to any irreducible representation), and systems with the symmetry . +? . of the hexagonal lattice. For . and . +? . we consider the stability of bifurcating branches. These examples illustrate several features of specific applications th

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