7 citations · 16 across the 6 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
nlin.CD2012
Oseledets' Splitting in Large Hamiltonian Systems: the HMF Phase Transition
Matteo Sala, Alessio Turchi, Roberto Artuso
We consider the covariant Lyapunov vectors (CLV) of a high-dimensional Hamiltonian flow in the case of long range potential, namely the Hamiltonian Mean Field (HMF) problem, by stu…
nlin.CD2012★ 7 cited
Estimating hyperbolicity of chaotic bidimensional maps
Matteo Sala, Cesar Manchein, Roberto Artuso
We apply to bidimensional chaotic maps the numerical method proposed by Ginelli et al. to approximate the associated Oseledets splitting, i.e. the set of linear subspaces spanned b…
math-ph2012
Oseledets' Splitting of Standard-like Maps
Matteo Sala, Roberto Artuso
For the class of differentiable maps of the plane and, in particular, for standard-like maps (McMillan form), a simple relation is shown between the directions of the local invaria…