16 citations · 32 across the 6 of their papers we have counts for
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nlin.CD2002★ 6 cited
Lorenz deterministic diffusion
R. Festa, A. Mazzino, D. Vincenzi
The Lorenz 1963 dynamical system is known to reduce in the steady state to a one-dimensional motion of a classical particle subjected to viscous damping in a past history-dependent…
nlin.CD2002★ 16 cited
Lorenz-like systems and classical dynamical equations with memory forcing: a new point of view for singling out the origin of chaos
R. Festa, A. Mazzino, D. Vincenzi
A novel view for the emergence of chaos in Lorenz-like systems is presented. For such purpose, the Lorenz problem is reformulated in a classical mechanical form and it turns out to…
nlin.CD2000
At the very origin of chaos in three-dimensional dynamical systems
R. Festa, A. Mazzino, D. Vincenzi
The mechanism responsible for the emergence of chaotic behavior has been identified analytically within a class of three-dimensional dynamical systems which generalize the well-kno…