Characterization of the Lorentz attractor by unstable periodic orbits
V Franceschini; C Giberti; Zhiming Zheng; V Franceschini; Dipartimento di Matematica Pura ed Applicata, Modena Univ., Italy; C Giberti; Dipartimento di Matematica Pura ed Applicata, Modena Univ., Italy; Zhiming Zheng; Dipartimento di Matematica Pura ed Applicata, Modena Univ., Italy
Журнал:
Nonlinearity
Дата:
1993-03-01
Аннотация:
The authors 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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