We prove the existence of an arbitrarily large number of subharmonic solutions for a class of weakly coupled Hamiltonian systems which includes the case when the Hamiltonian function is periodic in all of its variables and its critical points are non-degenerate. Our results are obtained through a careful analysis of the dynamics of the planar components, combined with an application of a generalized version of the Poincaré–Birkhoff Theorem.
Subharmonic Solutions of Weakly Coupled Hamiltonian Systems
Toader R.
2021-01-01
Abstract
We prove the existence of an arbitrarily large number of subharmonic solutions for a class of weakly coupled Hamiltonian systems which includes the case when the Hamiltonian function is periodic in all of its variables and its critical points are non-degenerate. Our results are obtained through a careful analysis of the dynamics of the planar components, combined with an application of a generalized version of the Poincaré–Birkhoff Theorem.File in 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.