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Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces

Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces

There is a long-standing conjecture in Hamiltonian analysis which claims that there exist at least n geometrically distinct closed characteristics on every compact convex hypersurface in R2n with n≥2. Besides many partial results, this conjecture has been completely solved only for n=2. In this article, we give a confirmed answer …