Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds

• Datum: 1997
• Hauptverfasser: Parasyuk, I. O., Samoilenko, A. M., Парасюк, І. О., Самойленко, А. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4991
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate S1-invariant Hamiltonian systems on compact 4-dimensional symplectic manifolds with free symplectic action of a circle. We show that, in a rather general case, such systems generate ergodic flows of types (quasiperiodic and nilpotent) on their isoenergetic surfaces. We solve the probl...