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On the Fractional Order Generalized Discrete Maps Chapter | 13 401
Substituting for f as the generalized tent map with scaling parameters we
get the FO generalized tent map according to the Wu definition given by:
n
μ X Γðn 2 j 1 νÞ
x n11 5 xð0Þ 1 min x j ; a 2 bx j : ð13:30Þ
ΓðνÞ Γðn 2 j 1 1Þ
j5n2m
13.4.1 Effects of Main System Parameters
The behavior of unity scaling FO tent map at a 5 b 5 1 changes according to
the value of the system parameter μ, as well as the FO ν. Their effects can
be described similar to the FO logistic map. The bifurcation diagram against
μ, fixing ν 5 0:5, which is shown in Fig. 13.16 describes the responses and
FIGURE 13.16 Bifurcation diagram for (A) m 5 0, ν 5 0:5, and (B) m 5 1 versus different ν.
