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- W2024963725 abstract "This paper considers the damped, driven sine-Gordon equation with even, periodic boundary conditions on a finite length. Nearly integrable perturbation methods are applied to infer approximate solution branches of space- and time-periodic breather trains of order one amplitude. These approximate solutions consist of coherent spatial structures, either homogeneous or with one breather per period, which lock in frequency and phase to the small time-periodic perturbation in the presence of uniform weak damping. The predicted resonant breather trains are then verified by Overman via direct simulation of the perturbed sine-Gordon pde, and shown to be accurate within the order of the perturbation theory." @default.
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- W2024963725 date "1992-06-01" @default.
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- W2024963725 title "Frequency and Phase Locking of Spatially Periodic Perturbed Sine-Gordon Breather Trains" @default.
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- W2024963725 doi "https://doi.org/10.1137/0152043" @default.
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