Article contents
On the notion of the dimension with respect to a dynamical system
Published online by Cambridge University Press: 19 September 2008
Abstract
For the invariant sets of dynamical systems a new notion of dimension-the so-called dimension with respect to a dynamical system-is introduced. It has some common features with the general topological notion of the dimension, but it also reflects the dynamical properties of the system. In the one-dimensional case it coincides with the Hausdorff dimension. For multi-dimensional hyperbolic sets formulae for the calculation of our dimension are obtained. These results are generalizations of Manning's results obtained by him for the Hausdorff dimension in the two-dimensional case.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 1984
References
REFERENCES
- 3
- Cited by