On the prescribed-period problem for autonomous Hamiltonian systems

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 pe...

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Bibliographic Details
Main Author: A. A. Zevin
Format: Article
Language:English
Published: Texas State University 1998-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1998/05/abstr.html