Brake orbits of super-quadratic Hamiltonian systems

Xing, Jiamin; Yang, Xue; Li, Yong

doi:10.1090/proc/15375

Brake orbits of super-quadratic Hamiltonian systems
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by Jiamin Xing, Xue Yang and Yong Li PDF

Proc. Amer. Math. Soc. 149 (2021), 2179-2185 Request permission

Abstract:

The brake orbits of Hamiltonian systems are studied. It is proved that if the Hamiltonian $H$ is super-quadratic and satisfies $H(-p,q)=H(p,q)$ for all $(p,q)\in \mathbf {R}^{2n}$, the system has an unbounded sequence of brake orbits for any given period.

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