MULTIFRACTALITY OF THE LORENZ SYSTEM

Citation
Ko. Wiklund et Jn. Elgin, MULTIFRACTALITY OF THE LORENZ SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1111-1119
Citations number
17
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
2
Year of publication
1996
Pages
1111 - 1119
Database
ISI
SICI code
1063-651X(1996)54:2<1111:MOTLS>2.0.ZU;2-T
Abstract
We use the unstable periodic orbit expansion of the dynamical zeta fun ction to find the multifractal spectra f(alpha) and g(Lambda) for the Lorenz system at (r,sigma,b)=(28,10,8/3) and also for an incomplete, g eneralized Baker's map with the topology of the Lorenz system.