New periodic solutions with a prescribed energy for a class of Hamiltonian systems View Full Text


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Article Info

DATE

2017-03-09

AUTHORS

Fengying Li, Ying Lv, Shiqing Zhang

ABSTRACT

We consider a class of second order Hamiltonian systems with a C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$C^{2}$\end{document} potential function. The existence of new periodic solutions with a prescribed energy is established by the use of constrained variational methods.

PAGES

30

References to SciGraph publications

  • 1993. Periodic Solutions of Singular Lagrangian Systems in NONE
  • 1948-03. Periodische Bewegungen mechanischer Systeme in MATHEMATISCHE ZEITSCHRIFT
  • 2008-08-08. Closed characteristics on non-compact hypersurfaces in in MATHEMATISCHE ANNALEN
  • 2002. Index Theory for Symplectic Paths with Applications in NONE
  • 1979-10. The principle of symmetric criticality in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1990-12. Closed orbits of fixed energy for singular Hamiltonian systems in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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