190 citations · 525 across the 19 of their papers we have counts for
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patt-sol1998★ 89 cited
Moving lattice kinks and pulses: an inverse method
S. Flach, Y. Zolotaryuk, K. Kladko
We develop a general mapping from given kink or pulse shaped travelling-wave solutions including their velocity to the equations of motion on one-dimensional lattices which support…
patt-sol1998★ 49 cited
Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources
Igor Mitkov, Konstantin Kladko, John E. Pearson
We study the dynamics of waves in a system of diffusively coupled discrete nonlinear sources. We show that the system exhibits burst waves which are periodic in a traveling-wave re…
patt-sol1997★ 190 cited
Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices
S. Flach, K. Kladko, R. S. MacKay
Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter fam…