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单词 Baker's Map
释义

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.


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