KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD

In present paper, we give KAM theorem and iso-energetic KAM theorem for Hamiltonian system on n-dimensional Poisson manifold (M, pi) with rank pi = 2r everywhere, where pi is given a bivector field, 2r < n.

Automated summary

In this paper, the KAM theorem and the iso-energetic KAM theorem are presented for Hamiltonian systems on n-dimensional Poisson manifold (M, pi) with rank of pi equal to 2r everywhere, where pi is a given bivector field and 2r < n.