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Dimensions, embeddings, and attractors
Enregistré dans:
| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Dimensions, embeddings, and attractors / James C. Robinson,... |
| Publié : |
Cambridge, New York :
Cambridge University Press
, 2011 |
| Description matérielle : | 1 vol. (XII-205 p.) |
| Collection : | Cambridge tracts in mathematics ; 186 |
| Accès en ligne : |
Informations sur la publication
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| Contenu : | Contient des exercices |
| Sujets : |
- Part I. Finite-Dimensional Sets
- 1. Lebesgue covering dimension
- 2. Hausdorff measure and Hausdorff dimension
- 3. Box-counting dimension
- 4. An embedding theorem for subsets of RN
- 5. Prevalence, probe spaces, and a crucial inequality; 6. Embedding sets with dH(X-X) finite
- 7. Thickness exponents
- 8. Embedding sets of finite box-counting dimension
- 9. Assouad dimension
- Part II. Finite-Dimensional Attractors
- 10. Partial differential equations and nonlinear semigroups
- 11. Attracting sets in infinite-dimensional systems
- 12. Bounding the box-counting dimension of attractors
- 13. Thickness exponents of attractors
- 14. The Takens time-delay embedding theorem
- 15. Parametrisation of attractors via point values
- Solutions to exercises; References; Index