Titlebook: Critical Point Theory and Hamiltonian Systems; Jean Mawhin,Michel Willem Book 1989 Springer Science+Business Media New York 1989 Boundary

Decimate

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

充氣球

影響帶來

傻瓜

echnic

殺死

FOVEA

流利圓滑

CLASP

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.