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Periodic Solutions in Hamiltonian Systems

Course Type: 
PhD Course
Academic Year: 
2003-2004
Period: 
Academic year
Duration: 
40 h
Description: 
  • An introduction to Hamiltonian systems.
  • Local existence theory for periodic solutions
    • Conditions at the linearized system (Lyapunov, Poincare, Weinstein-Moser, Fadell-Rabinowitz)
    • Non-linear conditions (Birkhoof-Lewis).
  • Global results with prescribed energy and prescribed period.

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