Quasiperiodic solutions of higher dimensional Duffing’s equations via the KAM theorem |
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| Authors: | ZHANG Fubao |
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| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, China (email: zhangfub@nju.edu.cn) |
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| Abstract: | In this paper, we consider the higher dimensional second order differential equations of the formẍ + ∇F(x,t) = 0,x ∈R
n
with a class of weakly coupled potentials F( x, t ), periodically depending on t. We prove the existence of infinitely many
quasi-periodic solutions for such equations via the KAM theorem. |
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| Keywords: | quasiperiodic solutions invariant tori symplectic mapping KAM theorem |
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