@article{RISC3438,author = {M.D. Bustamante and E. Kartashova},
title = {{Dynamics of nonlinear resonances in Hamiltonian systems}},
language = {english},
abstract = {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 resonances consists of
independent clusters of resonantly interacting modes, described by a
few low-dimensional dynamical systems. We formulate and prove a new
theorem on integrability which allows us to show that most
frequently met clusters are described by integrable dynamical
systems. We argue that construction of clusters can be used as the
base for the Clipping method, substantially more effective for these
systems than the Galerkin method. The results can be used directly
for systems with cubic Hamiltonian.},
journal = {Europhysics Letters },
volume = {85},
pages = {14004--6},
publisher = {IOP },
isbn_issn = {0295-5075 (print) , 1286-4854 (online)},
year = {2009},
refereed = {yes},
length = {6},
url = {http://www.iop.org/EJ/abstract/0295-5075/85/1/14004/}
}