One-dimensional approximation to stochastic lattice system with strong coupling |
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| Authors: | Wei Lv |
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| Institution: | a Department of Mathematics, Xi'an Jiao Tong University, Xi'an 710049, China
b School of Science, Nanjing University of Science & Technology, Nanjing 210094, China |
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| Abstract: | One-dimensional approximation to stochastic lattice system with strong coupling is derived. For a special periodic coupling, the existence of a rotation number is proved, which yields the frequency locking of the system. And by the one-dimensional approximation system, an approximation to the rotation number is also derived. |
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| Keywords: | 34C15 37H10 60H10 |
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