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Orbits stability and dimensional criticality of Cantor sets

✍ Scribed by M.S. El Naschie


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
287 KB
Volume
7
Category
Article
ISSN
0893-9659

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πŸ“œ SIMILAR VOLUMES


KAM orbits and dimensional criticality
✍ M.S. El Naschie πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 268 KB

A theorem is presented connecting golden KAM orbits and the mean Hausdorff dimension of a backbone Cantor set at the point of dimensional criticality.

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✍ M.S. El Naschie πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 883 KB

Two d$ferent descriptions of an abstract n-dimensional dynamical system are discussed: a Sierpinski space setting and a statistical cellular space setting. The results suggest that in four dimensions the phase space dynamics is peano-like and resembles an Anosoc dtfleomorphism of a compact manifold