139 citations · 318 across the 8 of their papers we have counts for
Showing math.DSShow all
2 papers · 1 filter
math.DS2015★ 3 cited
A short survey on Lyapunov dimension for finite dimensional dynamical systems in Euclidean space
G. A. Leonov, N. V. Kuznetsov
Nowadays there are a number of surveys and theoretical works devoted to the Lyapunov exponents and Lyapunov dimension, however most of them are devoted to infinite dimensional syst…
math.DS2015★ 77 cited
The Lyapunov dimension formula for the global attractor of the Lorenz system
G. A. Leonov, N. V. Kuznetsov, N. A. Korzhemanova +1
The exact Lyapunov dimension formula for the Lorenz system has been analytically obtained first due to G.A.Leonov in 2002 under certain restrictions on parameters, permitting class…