Synchronization In Lattices Of Coupled Oscillators With Neumann /Periodic Boundary Conditions |
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Authors: | V S Afraimovich Wen-Wei Lin |
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Affiliation: |
a Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, ROC |
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Abstract: | We consider a lattice of coupled Duffing oscillators with external periodic forces and Neumann or periodic boundary conditions. We prove that asymptotic synchronization occurs provided the coupling system is dissipative and coefficients of coupling are sufficiently large. We determine dependence of synchronization coefficients on lattice size. |
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