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The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems |
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| Authors: | LIU Bin Laboratory of Mathematics its Applications School of Mathematical Sciences Peking University Beijing China |
| Institution: | LIU Bin Laboratory of Mathematics , its Applications School of Mathematical Sciences Peking University Beijing 100871China |
| Abstract: | We deal with the stability of zero solutions of planar Hamiltonian and reversible systems which are quasi-periodic in the time variable. Under some reasonable assumptionswe prove the existence of quasi-periodic solutions in a small neighborhood of zero solutions and the stability of zero solutions. |
| Keywords: | invariant curvesreversible systemsHamiltonian systemsLiapunov stabilityreducibility |
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