131 citations · 621 across the 30 of their papers we have counts for
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q-Breathers in Discrete Nonlinear Schroedinger arrays with weak disorder
M. V. Ivanchenko
Nonlinearity and disorder are key players in vibrational lattice dynamics, responsible for localization and delocalization phenomena. -Breathers -- periodic orbits in nonlinear…
-Breathers in finite lattices: nonlinearity and weak disorder
M. V. Ivanchenko
Nonlinearity and disorder are the recognized ingredients of the lattice vibrational dynamics, the factors that could be diminished, but never excluded. We generalize the concept of…
q-breathers in Discrete Nonlinear Schroedinger lattices
K. G. Mishagin, S. Flach, O. I. Kanakov +1
-breathers are exact time-periodic solutions of extended nonlinear systems continued from the normal modes of the corresponding linearized system. They are localized in the spac…
Periodic orbits, localization in normal mode space, and the Fermi-Pasta-Ulam problem
S. Flach, M. V. Ivanchenko, O. I. Kanakov +1
The Fermi-Pasta-Ulam problem was one of the first computational experiments. It has stirred the physics community since, and resisted a simple solution for half a century. The comb…
Scaling properties of -breathers in nonlinear acoustic lattices
O. I. Kanakov, S. Flach, M. V. Ivanchenko +1
Recently -breathers - time-periodic solutions which localize in the space of normal modes and maximize the energy density for some mode vector - were obtained for finite n…
q-breathers in finite two- and three-dimensional nonlinear acoustic lattices
M. V. Ivanchenko, O. I. Kanakov, K. G. Mishagin +1
Nonlinear interaction between normal modes dramatically affects energy equipartition, heat conduction and other fundamental processes in extended systems. In their celebrated exper…