Baker's Map
The Map
 | (1) |
is computed modulo 1. A generalized Baker's map can be defined as |  |  | (2) |
 | |  | (3) |
where
, 
, and and 
are computed mod 1. The 
q-Dimension is | (4) |
, then the general q-Dimension is | (5) |
References
Lichtenberg, A. and Lieberman, M. Regular and Stochastic Motion. New York: Springer-Verlag, p. 60, 1983. Ott, E. Chaos in Dynamical Systems. Cambridge, England: Cambridge University Press, pp. 81-82, 1993. Rasband, S. N. Chaotic Dynamics of Nonlinear Systems. New York: Wiley, p. 32, 1990.
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