an:03559067
Zbl 0358.70014
Rabinowitz, Paul H.
Periodic solutions of Hamiltonian systems
EN
Commun. Pure Appl. Math. 31, 156-184 (1978).
00141444
1978
j
70G10 70H05 34C25
This paper concerns the existence of periodic solutions of the Hamiltonian system:
\[ \dot p = -H_q, \quad \dot q = H_p. \tag{*} \]
In \S1 conditions are given on \(H(p,q)\) for (*) to possess solutions having prescribed energy and in \S2 having prescribed period. For the latter case \(H\) is also permitted to depend on \(t\).
Paul H. Rabinowitz