Estimate for the Entropy Dimension of the Maximal Attractor for k-Contracting Systems in an Infinite-Dimensional Space

Russian Journal of Mathematical Physics

Volumn 6, Issue 1, 1999, Pages 20-26

  Blinchevskaya, M A ^a   Ilyashenko, Yu S ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033466552     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Ilyashenko, Yu. S., Weakly Contracting Systems and Attractors of Galerkin Approximations of the Navier-Stokes Equations on the Two-Torus, Uspekhi Mekhaniki, 1982, vol. 5, no. 1, pp. 31-63; Transl., in Selecta Math. Sov., vol. 11, no. 3, pp. 203-239.
2. Ilyashenko, Yu. S., Weakly Contracting Systems and Attractors of Galerkin Approximations of the Navier-Stokes Equations on the Two-Torus, Uspekhi Mekhaniki, 1982, vol. 5, no. 1, pp. 31-63; Transl., in Selecta Math. Sov., vol. 11, no. 3, pp. 203-239.
3. Ilyashenko, Yu. S., On the Dimension of Attractors of k-Contracting System in an Infinite-Dimensional Space, Vestnik Mosk. Univ. Ser. 1 Matem. Mekh., 1983, no. 3.
4. Douady, A. and Oesterle, J., Dimension de Hausdorff des attracteurs, C. r. Acad. Sci., Ser. A, 1980, vol. 290, no. 24, pp. 1135-1138.
5. Hunt, B., Maximal Local Lyapunov Dimension Bounds the Box Dimension of Chaotic Attractors, Nonlinearity, 1996, vol. 9.
6. Sauer, T., Yorke, J., and Casdagli, M., Embeddology, J. Stat. Phis., 1991, vol. 65, pp. 579-616.
7. Whitney, H., Differentiable Manifolds, Ann. Math, 1936, vol. 37, pp. 645-680.