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2008-11-27
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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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