Decimate 发表于 2025-3-23 11:52:04

Morse Theory,Morse theory’s object is the relation between the topological type of critical points of a function . and the topological structure of the manifold on which the function is defined.

faucet 发表于 2025-3-23 14:26:07

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充气球 发表于 2025-3-23 18:23:55

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影响带来 发表于 2025-3-23 22:40:33

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傻瓜 发表于 2025-3-24 03:07:49

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echnic 发表于 2025-3-24 10:06:42

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杀死 发表于 2025-3-24 10:52:47

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FOVEA 发表于 2025-3-24 16:38:29

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流利圆滑 发表于 2025-3-24 22:00:26

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CLASP 发表于 2025-3-25 03:00:48

Applications of Morse Theory to Second Order Systems,system . and assume that 0 is a solution and that . (.. ≥ 0,0 ≤ . ≤ .) are the non-negative eigenvalues of .(0). The Liapunov theorem insures that if the geometric multiplicity of . is one and if ../.. ∉ N for ., then this system has a family of periodic solutions with minimal period tending to .. and with amplitude tending to 0.
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查看完整版本: Titlebook: Critical Point Theory and Hamiltonian Systems; Jean Mawhin,Michel Willem Book 1989 Springer Science+Business Media New York 1989 Boundary