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Variations in the dimension of chaotic systems

โœ Scribed by R.K. Tavakol; A.S. Tworkowski


Book ID
103777045
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
206 KB
Volume
102
Category
Article
ISSN
0375-9601

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Unstable dimension variability: A source
โœ Eric J. Kostelich; Ittai Kan; Celso Grebogi; Edward Ott; James A. Yorke ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 706 KB

The hyperbolicity or nonhyperbolicity of a chaotic set has profound implications for the dynamics on the set. A familiar mechanism causing nonhyperbolicity is the tangency of the stable and unstable manifolds at points on the chaotic set. Here we investigate a different mechanism that can lead to no