## Periodic solutions of Hamiltonian systems.(English)Zbl 0358.70014

This paper concerns the existence of periodic solutions of the Hamiltonian system:
$\dot p = -H_q, \quad \dot q = H_p. \tag{*}$
In §1 conditions are given on $$H(p,q)$$ for (*) to possess solutions having prescribed energy and in §2 having prescribed period. For the latter case $$H$$ is also permitted to depend on $$t$$.
Reviewer: Paul H. Rabinowitz

### MSC:

 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics 70H05 Hamilton’s equations 34C25 Periodic solutions to ordinary differential equations
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### References:

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