We characterize the chaotic attractors of the Lorenz system associated with R = 28 and R = 60 in terms of the unstable periodic orbits and their eigenvalues. While the Hausdorff dimension is approximated with very good accuracy in both cases, the topological entropy is computed, in an exact sense, only for R = 28.
Characterization of the Lorenz Attractor by Unstable Periodic Orbits / Franceschini, Valter; Giberti, Claudio; Zheng, Zm. - In: NONLINEARITY. - ISSN 0951-7715. - STAMPA. - 6:(1993), pp. 251-258.
Characterization of the Lorenz Attractor by Unstable Periodic Orbits
FRANCESCHINI, Valter;GIBERTI, Claudio;
1993
Abstract
We characterize the chaotic attractors of the Lorenz system associated with R = 28 and R = 60 in terms of the unstable periodic orbits and their eigenvalues. While the Hausdorff dimension is approximated with very good accuracy in both cases, the topological entropy is computed, in an exact sense, only for R = 28.
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