Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds |
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Authors: | A. M. Samoilenko I. O. Parasyuk |
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Affiliation: | (1) Academician Ukrainian Academy of Sciences. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev;(2) National University, Kiev |
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Abstract: | 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 problem of straightening of these flows. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 1, pp. 122–140, January, 1997. |
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