On the Prescribed-period Problem for Autonomous Hamiltonian Systems
Date
1998-02-20
Authors
Zevin, A. A.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Autonomous Hamiltonian system, Periodic solutions, Global analysis, Prescribed-period problem
Citation
Zevin, A. A. (1998). On the prescribed-period problem for autonomous Hamiltonian systems. <i>Electronic Journal of Differential Equations, 1998</i>(05), pp. 1-9.
Rights
Attribution 4.0 International