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.
6
251
258
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.
Franceschini, Valter; Giberti, Claudio; Zheng, Zm
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/613034
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