GROSS 发表于 2025-3-23 12:46:32

Scaling Laws and Bifurcation,similar to the equivariance condition except that it also involves the parameters of the problem. We derive a natural context for the existence of such scaling laws based on the symmetry of the problem and show how bifurcation points can also be related by a scaling. This leads in some cases, to a p

谦卑 发表于 2025-3-23 17:40:08

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鸟笼 发表于 2025-3-23 20:37:39

Boundary conditions as symmetry constraints,mann boundary conditions can be viewed as restrictions of similar problems with periodic boundary conditions; and that this extension reveals the presence of additonal symmetry constraints which affect the generic bifurcation phenomena. We show that, more generally, similar observations hold for mul

悬崖 发表于 2025-3-24 00:46:02

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Insulin 发表于 2025-3-24 04:09:49

On a codimension-four bifurcation occurring in optical bistability,ity has codimension four and appears in the mean field equations underlying optically bistable systems. We discuss the singularities of codimension smaller than four that occur as subsidiary bifurcations of the unfolding and present a two-dimensional section through the stability diagram.

Misnomer 发表于 2025-3-24 08:59:26

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胆小鬼 发表于 2025-3-24 13:11:33

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Kinetic 发表于 2025-3-24 18:14:07

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Nutrient 发表于 2025-3-24 19:11:49

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Deadpan 发表于 2025-3-25 01:33:09

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查看完整版本: Titlebook: Singularity Theory and its Applications; Warwick 1989, Part I Mark Roberts,Ian Stewart Conference proceedings 1991 Springer-Verlag Berlin H