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.
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation / Biasco, Luca; Di Gregorio, Laura. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 196:1(2010), pp. 303-362. [10.1007/s00205-009-0240-y]
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
Biasco, Luca;Di Gregorio, Laura
2010
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 allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
