| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 795099 | Journal of Applied Mathematics and Mechanics | 2012 | 13 Pages |
Abstract
The effectiveness of constructing Lyapunov functions in the attractors dimension theory is theory of the dimension demonstrated. Formulae for the Lyapunov dimension of the Lorenz, Hénon and Chirikov attractors are derived and proved. A hypothesis regarding the formula for the dimension of the Rössler attractor is formulated.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
G.A. Leonov,