We give an extension of the celebrated Birkhoff--Lewis theorem to the nonlinear wave equation. Accordingly we find infinitely many periodic orbits with longer and longer minimal periods accumulating at the origin, which is an elliptic equilibrium of the associated infinite dimensional Hamiltonian system..
Biasco, L., DI GREGORIO, L. (2010). A Birkhoff--Lewis type theorem for the nonlinear wave equation. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS.
A Birkhoff--Lewis type theorem for the nonlinear wave equation
BIASCO, LUCA;
2010-01-01
Abstract
We give an extension of the celebrated Birkhoff--Lewis theorem to the nonlinear wave equation. Accordingly we find infinitely many periodic orbits with longer and longer minimal periods accumulating at the origin, which is an elliptic equilibrium of the associated infinite dimensional Hamiltonian system..File in questo prodotto:
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