𝔖 Bobbio Scriptorium
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Fractal Basin Boundaries with Unique Dimension

✍ Scribed by CELSO GREBOGI; EDWARD OTT; JAMES A. YORKE; HELENA E. NUSSE


Book ID
119860516
Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
463 KB
Volume
497
Category
Article
ISSN
0890-6564

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πŸ“œ SIMILAR VOLUMES


Hausdorff dimension and measure of basin
✍ Karen M Brucks πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 976 KB

To begin, we consider the following example. Fix a value e E (0, l/2). Let g be the piecewise linear map shown in Fig. 1, where A is chosen so that l/2 is a super stable periodic point of period 3,1> l/2, and g(n) < l/2 (it is known [2, 3, 25, 261 that, given an e, such a II exists). Thus, under it

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✍ David Sweet; Edward Ott πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 93 KB

We analyze a hard-walled billiard chaotic scattering system in three spatial dimensions. Our analysis of this system tests Ε½ a conjectured formula for the fractal dimension of 'typical' non-attracting chaotic sets in higher-dimensional systems e.g., . time-independent, Hamiltonian systems with more