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The existence of quasiperiodic solutions for coupled Duffing-type equations |
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| Authors: | Huiping Jin |
| Institution: | a Yiwu Industrial and Commercial College, Yiwu Zhejiang 322000, PR China b School of Mathematics, Peking University, Beijing 100871, PR China c Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
| Abstract: | In this paper, we prove the existence of infinitely many quasiperiodic solutions for a class of coupled Duffing-type equations via KAM theorem. Moreover, the set of quasiperiodic solutions is of infinitely Lebesgue measure in the phase space. |
| Keywords: | Hamiltonian system Quasiperiodic solutions Scale change Small twist theorem Canonical transformation |
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