Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899009 | Physica D: Nonlinear Phenomena | 2007 | 7 Pages |
Abstract
We study estimators for dynamical quantities such as the topological entropy and the topological pressure which are based on numerical computations on periodic orbits. For the particular case of the Hénon family for some parameter ranges we find a reasonable convergence of the entropy, the pressure, and Birkhoff averages of test functions. However, pointing out possible pitfalls of such an analysis, we show that the evaluation by means of saddle orbits alone can be misleading if, for example, chaotic saddles and attractors coexist.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Katrin Gelfert, Holger Kantz,