A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
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.
575-582
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
September 1993
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-Min
(1993)
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors.
Chaos, Solitons & Fractals, 3 (5), .
(doi:10.1016/0960-0779(93)90007-N).
Abstract
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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Published date: September 1993
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 204443
URI: http://eprints.soton.ac.uk/id/eprint/204443
ISSN: 0960-0779
PURE UUID: 113bcbe1-a3b2-4de3-9c7e-e08b3590bb0c
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Date deposited: 30 Nov 2011 12:32
Last modified: 14 Mar 2024 04:31
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Zhi-Min Chen
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