751 citations · 3.2k across the 102 of their papers we have counts for
9 papers · 1 filter
On the dynamics of a self-gravitating medium with random and non-random initial conditions
Erik Aurell, Duccio Fanelli, Paolo Muratore-Ginanneschi
The dynamics of a one-dimensional self-gravitating medium, with initial density almost uniform is studied. Numerical experiments are performed with ordered and with Gaussian random…
Drifters dispersion in the Adriatic Sea: Lagrangian data and chaotic model
Guglielmo Lacorata, Erik Aurell, Angelo Vulpiani
We analyze characteristics of drifter trajectories from the Adriatic Sea with recently introduced nonlinear dynamics techniques. We discuss how in quasi-enclosed basins, relative d…
Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity
E. Aurell, U. Frisch, A. Noullez +1
It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transitio…
Predictability in the large: an extension of the concept of Lyapunov exponent
E. Aurell, G. Boffetta, A. Crisanti +2
We investigate the predictability problem in dynamical systems with many degrees of freedom and a wide spectrum of temporal scales. In particular, we study the case of turbule…
Growth of non-infinitesimal perturbations in turbulence
E. Aurell, G. Boffetta, A. Crisanti +2
We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. Th…
Predictability in Systems with Many Characteristic Times: The Case of Turbulence
E. Aurell, G. Boffetta, A. Crisanti +2
In chaotic dynamical systems, an infinitesimal perturbation is exponentially amplified at a time-rate given by the inverse of the maximum Lyapunov exponent . In fully developed…