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What is Periodic Orbits in Hamiltonian Dynamics about?

The paper investigates the relationship between periodic orbits in Hamiltonian dynamics and the action or index spectra of Hamiltonian systems. It establishes that Hamiltonian diffeomorphisms of closed rational manifolds with zero first Chern class possess infinitely many periodic orbits, and provides bounds on the number of distinct periodic orbits based on the minimal Chern number. Additionally, it discusses the implications of these findings for the Conley conjecture and presents theorems that extend its

Author
谢东
Language
EN

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