KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD

Weichao Qian

doi:10.11948/20220576

2023 Volume 13 Issue 2

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Weichao Qian. KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 1088-1107. doi: 10.11948/20220576

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Weichao Qian. KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 1088-1107. doi: 10.11948/20220576

KAM THEOREM AND ISO-ENERGETIC KAM THEOREM ON POISSON MANIFOLD

Weichao Qian^1, ,

1.
School of Mathematics, Jilin University, Qianjin Street, 130012 Changchun, China

Corresponding author: Email: qian_wc@163.com(W. Qian)

Abstract

Abstract

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, $2r < n$.
- KAM theorem /
- Iso-energetic KAM theorem /
- Poisson manifold
MSC: 37J40

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References

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