Multiplicity of subharmonic solutions of forced Hamiltonian systems near an equilibrium

DOI10.1007/BF01170935zbMath0672.70020MaRDI QIDQ1120301

Maria Letizia Bertotti

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155414

zbMATH Keywords

existencevariational principlespectral analysisequilibrium solutionmultiplicity of long time periodic solutionsnonlinear nonautonomous Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Saddle points and multiple solutions of differential equations
• Periodic solutions of Hamiltonian systems with superquadratic potential
• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• Critical point theorems for indefinite functionals
• A ``Birkhoff-Lewis type result for a class of Hamiltonian systems
• On the periodic motions near a given periodic motion of a dynamical system
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
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