Fractal Basin Boundaries with Unique Dimension
β 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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π SIMILAR VOLUMES
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
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