The Stability of the Equilibrium of Planar Hamiltonian and Reversible Systems |
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| Authors: | Bin Liu |
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| Institution: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R.China |
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| Abstract: | In this paper, we study the stability of the equilibrium of planar systems
where X and Y are real analytic in x, y, and t, and quasi-periodic in t with frequencies (ω1,...,ω
n
). Under some reasonable assumptions, we obtain a sufficient and necessary condition. |
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| Keywords: | Stability of the equilibrium Hamiltonian systems reversible systems quasi-periodic functions invariant curves |
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