A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 3, pp. 679-698
We propose an extension to higher dimensions of the Poincaré–Birkhoff Theorem which applies to Poincaré time-maps of Hamiltonian systems. Examples of applications to pendulum-type systems and weakly-coupled superlinear systems are also given.
DOI :
10.1016/j.anihpc.2016.04.002
Keywords:
Poincaré–Birkhoff, Periodic solutions, Hamiltonian systems
@article{AIHPC_2017__34_3_679_0,
author = {Fonda, Alessandro and Ure\~na, Antonio J.},
title = {A higher dimensional {Poincar\'e{\textendash}Birkhoff} theorem for {Hamiltonian} flows},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {679--698},
year = {2017},
publisher = {Elsevier},
volume = {34},
number = {3},
doi = {10.1016/j.anihpc.2016.04.002},
mrnumber = {3633740},
zbl = {1442.37076},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.04.002/}
}
TY - JOUR AU - Fonda, Alessandro AU - Ureña, Antonio J. TI - A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows JO - Annales de l'I.H.P. Analyse non linéaire PY - 2017 SP - 679 EP - 698 VL - 34 IS - 3 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.04.002/ DO - 10.1016/j.anihpc.2016.04.002 LA - en ID - AIHPC_2017__34_3_679_0 ER -
%0 Journal Article %A Fonda, Alessandro %A Ureña, Antonio J. %T A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows %J Annales de l'I.H.P. Analyse non linéaire %D 2017 %P 679-698 %V 34 %N 3 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.04.002/ %R 10.1016/j.anihpc.2016.04.002 %G en %F AIHPC_2017__34_3_679_0
Fonda, Alessandro; Ureña, Antonio J. A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 3, pp. 679-698. doi: 10.1016/j.anihpc.2016.04.002
Cité par Sources :