Baker,s Map
المؤلف:
Lichtenberg, A. and Lieberman, M
المصدر:
Regular and Stochastic Motion. New York: Springer-Verlag
الجزء والصفحة:
...
6-10-2021
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Baker's Map
The map
 |
(1)
|
where 
is computed modulo 1. A generalized Baker's map can be defined as
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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