92 citations · 490 across the 13 of their papers we have counts for
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nlin.CD2012★ 9 cited
Kolmogorov turbulence, Anderson localization and KAM integrability
D. L. Shepelyansky
The conditions for emergence of Kolmogorov turbulence, and related weak wave turbulence, in finite size systems are analyzed by analytical methods and numerical simulations of simp…
nlin.CD2010★ 27 cited
Poincaré recurrences in Hamiltonian systems with a few degrees of freedom
D. L. Shepelyansky
Hundred twenty years after the fundamental work of Poincaré, the statistics of Poincaré recurrences in Hamiltonian systems with a few degrees of freedom is studied by numerical sim…
nlin.CD2010★ 40 cited
Ulam method for the Chirikov standard map
Klaus M. Frahm, Dima L. Shepelyansky
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that t…