## Baker's Map

The Map

 (1)

where 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)

If , 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.