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The Lyapunov Spectrum of Some Parabolic Systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gelfert, Katrin Rams, Micha L. |
| Abstract | We study the Hausdorff dimension spectrum for Lyapunov exponents for a class of interval maps which includes several non-hyper-bolic situations. We also analyze the level sets of points with given lower and upper Lyapunov exponents and, in particular, with zero lower Lya-punov exponent. We prove that the level set of points with zero exponent has full Hausdorff dimension, but carries no topological entropy. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0709.2832v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Hausdorff dimension Hyperactive behavior Lyapunov fractal Map Parabolic antenna Topological entropy |
| Content Type | Text |
| Resource Type | Article |
