heterogeneous 发表于 2025-3-26 23:54:43

https://doi.org/10.1007/978-3-031-47880-2Let us consider an equilibrium state of a system depending on several parameters and let us assume that (in some domain of variation of the parameters) this equilibrium state does not bifurcate.

Medicaid 发表于 2025-3-27 04:01:43

https://doi.org/10.1007/978-3-031-48777-4A . in phase space is defined as follows: at every point of the space we have not just one velocity vector (as in the usual evolutionary system), but a whole set of vectors called the . (Fig. 49).

Cytokines 发表于 2025-3-27 09:19:39

http://reply.papertrans.cn/23/2226/222504/222504_33.png

ATRIA 发表于 2025-3-27 11:45:03

http://reply.papertrans.cn/23/2226/222504/222504_34.png

多嘴多舌 发表于 2025-3-27 15:39:05

http://reply.papertrans.cn/23/2226/222504/222504_35.png

bromide 发表于 2025-3-27 17:55:37

A Catastrophe Machine,In contrast to the example given above, the application of singularity theory to the study of bifurcations of equilibrium states in the theory of elasticity is irreproachably founded.

收到 发表于 2025-3-28 00:51:46

Bifurcations of Equilibrium States,An . is described mathematically by a vector field in phase space. A point of phase space defines the . of the system. The vector at this point indicates the velocity of change of the state.

Eeg332 发表于 2025-3-28 05:15:47

http://reply.papertrans.cn/23/2226/222504/222504_38.png

滔滔不绝地说 发表于 2025-3-28 08:58:17

Singularities of the Boundary of Attainability,A . in phase space is defined as follows: at every point of the space we have not just one velocity vector (as in the usual evolutionary system), but a whole set of vectors called the . (Fig. 49).

STIT 发表于 2025-3-28 10:36:44

http://reply.papertrans.cn/23/2226/222504/222504_40.png
页: 1 2 3 [4] 5 6
查看完整版本: Titlebook: Catastrophe Theory; Vladimir Igorevich Arnold Book 19862nd edition Springer-Verlag Berlin Heidelberg 1986 Bifurcations.Catastrophe Theory.