The almost-periodic solutions of the weakly coupled pendulum equations
Abstract In this paper, it is proved that, for the networks of weakly coupled pendulum equations d2xndt2+λn2sinxn=ϵWn(xn−1,xn,xn−1),n∈Z, $$\frac{d^{2} x_{n}}{d t^{2}}+\lambda_{n}^{2} \sin x_{n}= \epsilon W_{n}(x_{n-1},x_{n},x_{n-1}),\quad n \in\mathbb {Z}, $$ there are many (positive Lebesgue measur...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1604-0 |