| Abstract: |
| Resonance identities of closed orbits in Hamiltonian dynamics are powerful tools to study the multiplicity and stability problems of closed orbits. In recent years, we have established some new resonance identities of closed characteristics on compact star-shaped hypersurfaces and non-contractible closed geodesics on Finsler compact space forms, which are successfully used to obtain new results on multiplicity and stability of closed characteristics and closed geodesics. In this talk, I will give a survey of our results. |
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