55 citations · 357 across the 18 of their papers we have counts for
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nlin.SI2008★ 26 cited
Dynamics of nonlinear resonances in Hamiltonian systems
Miguel D. Bustamante, Elena Kartashova
It is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonanc…
nlin.SI2008★ 33 cited
Resonant interactions of nonlinear water waves in a finite basin
Elena Kartashova, Sergey Nazarenko, Oleksii Rudenko
We study exact four-wave resonances among gravity water waves in a square box with periodic boundary conditions. We show that these resonant quartets are linked with each other by…
nlin.CD2008★ 24 cited
Cluster Dynamics of Planetary Waves
Elena Kartashova, Victor S. L'vov
The dynamics of nonlinear atmospheric planetary waves is determined by a small number of independent wave clusters consisting of a few connected resonant triads. We classified the…