We provide a geometric assumption which unifies and generalizes the conditions proposed by Fonda and Urena in [11, 12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.

An avoiding cones condition for the Poincaré–Birkhoff Theorem

FONDA, ALESSANDRO;GIDONI, PAOLO
2017

Abstract

We provide a geometric assumption which unifies and generalizes the conditions proposed by Fonda and Urena in [11, 12], so to obtain a higher dimensional version of the Poincaré–Birkhoff fixed point Theorem for Poincaré maps of Hamiltonian systems.
http://www.sciencedirect.com/science/article/pii/S0022039616303278
File in questo prodotto:
File Dimensione Formato  
2017_Fonda-Gidoni_JDE.pdf

non disponibili

Tipologia: Documento in Versione Editoriale
Licenza: Digital Rights Management non definito
Dimensione 367.21 kB
Formato Adobe PDF
367.21 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2886410
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 8
social impact