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A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors

Record type: Article

We show that the fractal dimension of a chaotic attractor is bounded from above by Kaplan-Yorke-type numbers, and provide a heuristic derivation on the inequality dimfrac (A) ? 2 - (l1(u0) + l2(u0))?13(u>0) = 2.4013, u0 = (0,0,0), where A is the Lorenz chaotic attractor and lk(u) represents local Liapunov exponents.

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Citation

Chen, Zhi-Min (1993) A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors Chaos, Solitons & Fractals, 3, (5), pp. 575-582. (doi:10.1016/0960-0779(93)90007-N).

More information

Published date: September 1993
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 204443
URI: http://eprints.soton.ac.uk/id/eprint/204443
ISSN: 0960-0779
PURE UUID: 113bcbe1-a3b2-4de3-9c7e-e08b3590bb0c

Catalogue record

Date deposited: 30 Nov 2011 12:32
Last modified: 18 Jul 2017 11:06

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