Zevin, A.A.

On the prescribed-period problem for autonomous Hamiltonian systems

Electron. J. Differ. Equ. 1998, Paper 5, 9 p. (1998)


Summary: Asymptotically quadratic and subquadratic autonomous Hamiltonian systems are considered. Lower bounds for the number of periodic solutions with a prescribed minimal period are obtained. These bounds are expressed in terms of the numbers of frequencies corresponding to the critical points of the Hamiltonian. Results are based on a global analysis of families of periodic solutions emanating from these points.

Mathematics Subject Classification

58F14, 58F22


autonomous Hamiltonian system, periodic solutions, global analysis, prescribed-period problem