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ѧÊõÔ˶¯Ö÷Ì⣺Closed Orbits in Nonlinear Hamiltonian Systems

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    In this talk, we consider the problems of existence and stability of
 closed characteristics on compact convex hypersurfaces in $\R^{2n}$.
 Especially, we show the existence of at least three geometrically 
distinct closed characteristics on every compact convex hypersurfaces 
in $\R^{6}$, which gives a confirmed answer in the case $n=3$ to a long
 standing conjecture in Hamiltonian analysis
 
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