131 citations · 304 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
q-Breathers and the Fermi-Pasta-Ulam Problem
S. Flach, M. V. Ivanchenko, O. I. Kanakov
The Fermi-Pasta-Ulam (FPU) paradox consists of the nonequipartition of energy among normal modes of a weakly anharmonic atomic chain model. In the harmonic limit each normal mode c…