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Multifractality of the Lorenz system

Kjell Ottar Wiklund and John N. Elgin
Phys. Rev. E 54, 1111 – Published 1 August 1996
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Abstract

We use the unstable periodic orbit expansion of the dynamical ζ function to find the multifractal spectra f(α) and g(Λ) for the Lorenz system at (r,σ,b)=(28,10,8/3) and also for an incomplete, generalized Baker’s map with the topology of the Lorenz system. © 1996 The American Physical Society.

  • Received 12 March 1996

DOI:https://doi.org/10.1103/PhysRevE.54.1111

©1996 American Physical Society

Authors & Affiliations

Kjell Ottar Wiklund and John N. Elgin

  • Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ, United Kingdom

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Vol. 54, Iss. 2 — August 1996

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