7 citations · 16 across the 6 of their papers we have counts for
7 papers
Anomalous dynamics and the choice of Poincaré recurrence-set
Matteo Sala, Roberto Artuso, Cesar Manchein
We investigate the dependence of Poincaré recurrence-times statistics on the choice of recurrence-set, by sampling the dynamics of two- and four-dimensional Hamiltonian maps. We de…
Searching chaotic saddles in high dimensions
M. Sala, J. C. Leitao, E. G. Altmann
We propose new methods to numerically approximate non-attracting sets governing transiently-chaotic systems. Trajectories starting in a vicinity of these sets escape in a f…
Correlation decay and large deviations for mixed systems
Roberto Artuso, Cesar Manchein, Matteo Sala
We consider low--dimensional dynamical systems with a mixed phase space and discuss the typical appearance of slow, polynomial decay of correlations: in particular we emphasize how…
Extensive numerical investigations on the ergodic properties of two coupled Pomeau-Manneville maps
Matteo Sala, Cesar Manchein, Roberto Artuso
We present extensive numerical investigations on the ergodic properties of two identical Pomeau-Manneville maps interacting on the unit square through a diffusive linear coupling.…
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…
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…
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…