Geodesic
Lyapunov functions in the estimation of dimensions of attractors of dynamical systems
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Tome 266 (2000), pp. 131-154

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We discuss the relation of the Lyapunov dimension to the topological, Hausdorff and fractal dimensions of attractors. For Henon and Lorentz systems we obtain formulas for the Lyapunov dimenison of attractors. 
@article{ZNSL_2000_266_a8,
     author = {G. A. Leonov},
     title = {Lyapunov functions in the estimation of dimensions of attractors of dynamical systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {131--154},
     publisher = {mathdoc},
     volume = {266},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_266_a8/}
}
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G. A. Leonov. Lyapunov functions in the estimation of dimensions of attractors of dynamical systems. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Tome 266 (2000), pp. 131-154. http://geodesic.mathdoc.fr/item/ZNSL_2000_266_a8/