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Attractor dimension for the generalized Baker’s transformation. (English) Zbl 1168.37305
Summary: A typical example is constructed when the metric dimension of the attractor cannot be expressed through the Lyapunov numbers.

37B25 Stability of topological dynamical systems
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[1] Mandelbrot, B.B., Fractals: form, chance and dimension, (1977), Freeman San Francisco · Zbl 0376.28020
[2] Farmer, J.D.; Ott, E.; Yorke, J.A., Physica, 7D, 153, (1983)
[3] Pontrjagin, L.; Schnirelman, L., Ann. math., 33, 156, (1932)
[4] Kaplan, J.L.; Yorke, J.A., (), 204
[5] Mori, H., Prog. theor. phys., 63, 1044, (1980)
[6] Ledrappier, F., Commun. math. phys., 81, 229, (1981)
[7] O.E. Rossler, Chaos and bijection across dimensions.
[8] Smale, S., Bull. am. math. soc., 73, 747, (1967)
[9] Farmer, J.D., Physica, 4D, 366, (1982)
[10] Shtern, V.N., Dokl. akad. nauk SSSR, 270, 582, (1983)
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