06-230 Laura Di Gregorio
Infinite dimensional hamiltonian systems and nonlinear wave equation: periodic orbits with long minimal period (1885K, postcript) Aug 26, 06
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Abstract. We prove existence of infinitely many small amplitude periodic solutions for the nonlinear wave equation. Such solutions bifurcate from resonant finite dimensional invariant tori of the fourth order Birkhoff normal form of the associated hamiltonian system. As a consequence the origin is an accumulation point for these periodic orbits of longer and longer minimal period.

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