Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting

Nonlinearity

Volumn 11, Issue 4, 1998, Pages 1063-1074

  Franz, Astrid ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041721018     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/4/017     Document Type: Article

References (11)

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3. Fathi A 1989 Expansiveness, hyperbolicity and Hausdorff dimension Commun. Math. Phys. 126 249-62
4. Gu X 1991 An upper bound for the Hausdorff dimension of a hyperbolic set Nonlinearity 4 927-34
5. Hirsch M W and Pugh C C 1970 Stable manifolds and hyperbolic sets Proc. Symp. Pure Math. 14 133-63
6. Hunt B 1996 Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors Nonlinearity 9 845-52
7. Mañé R 1987 Ergodic Theory and Differentiable Dynamics (Berlin: Springer)
8. Noack A and Reitmann V 1996 Hausdorff dimension of invariant sets of time-dependent vector fields ZAA 15 457-73
9. Ruelle D 1982 Repellers for real analytic maps Erg. Theor. Dynam. Syst. 2 99-108
10. Temam R 1988 Infinite-dimensional Dynamical Systems in Mechanics and Physics (New York: Springer)
11. Thieullen P 1992 Entropy and the Hausdorff dimension for infinite-dimensional dynamical systems J. Dyn. Differ. Equ. 4 127-59