Characterization of the Lorentz attractor by unstable periodic orbits
- 1 March 1993
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 6 (2), 251-258
- https://doi.org/10.1088/0951-7715/6/2/006
Abstract
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.Keywords
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