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
http://reply.papertrans.cn/87/8680/867950/867950_12.png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
http://reply.papertrans.cn/87/8680/867950/867950_14.pngInsulin 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
http://reply.papertrans.cn/87/8680/867950/867950_16.png胆小鬼 发表于 2025-3-24 13:11:33
http://reply.papertrans.cn/87/8680/867950/867950_17.pngKinetic 发表于 2025-3-24 18:14:07
http://reply.papertrans.cn/87/8680/867950/867950_18.pngNutrient 发表于 2025-3-24 19:11:49
http://reply.papertrans.cn/87/8680/867950/867950_19.pngDeadpan 发表于 2025-3-25 01:33:09
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