On the Prescribed-period Problem for Autonomous Hamiltonian Systems

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dc.contributor.authorZevin, A. A.
dc.date.accessioned2019-05-30T18:02:55Z
dc.date.available2019-05-30T18:02:55Z
dc.date.issued1998-02-20
dc.description.abstractAsymptotically 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZevin, A. A. (1998). On the prescribed-period problem for autonomous Hamiltonian systems. <i>Electronic Journal of Differential Equations, 1998</i>(05), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8212
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectAutonomous Hamiltonian system
dc.subjectPeriodic solutions
dc.subjectGlobal analysis
dc.subjectPrescribed-period problem
dc.titleOn the Prescribed-period Problem for Autonomous Hamiltonian Systems
dc.typeArticle

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