We extend the Poincaré--Birkhoff Theorem to a Hamiltonian system which couples two systems with fairly different behaviors; the first one involves a twist assumption, while the second one is generated from a nonresonant isochronous center. By a suitable change of variables we modify the second system into a perturbation of a nonresonant linear one, and then prove that there exist multiple periodic solutions.
Periodic solutions of Hamiltonian systems coupling twist with an isochronous center
Fonda, Alessandro
;Ullah, Wahid
2024-01-01
Abstract
We extend the Poincaré--Birkhoff Theorem to a Hamiltonian system which couples two systems with fairly different behaviors; the first one involves a twist assumption, while the second one is generated from a nonresonant isochronous center. By a suitable change of variables we modify the second system into a perturbation of a nonresonant linear one, and then prove that there exist multiple periodic solutions.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
11368.3068461.pdf
Accesso chiuso
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright Editore
Dimensione
3.19 MB
Formato
Adobe PDF
|
3.19 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
