KAM orbits and dimensional criticality
β Scribed by M.S. El Naschie
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 268 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
β¦ Synopsis
A theorem is presented connecting golden KAM orbits and the mean Hausdorff dimension of a backbone Cantor set at the point of dimensional criticality.
π SIMILAR VOLUMES
Perturbed discrete systems like x n+1 = f x n + Β΅g x n Β΅ , x n β N , n β , when the associated unperturbed map (Β΅ = 0) is not invertible and has a critical orbit Ξ³ n homoclinic to a hyperbolic fixed point p are studied. By critical we mean that the f Ξ³ n are invertible for any integer n = 0 but f Ξ³
A speed-up of a known O(n 3 ) algorithm computing the period of a periodic orbit in max-min algebra is presented. If the critical components (or the transitive closure A + ) of the transition matrix A are known, the computational complexity of the algorithm is O(n 2 ). This is achieved by using only