
74 Simulation Technologies in Networking and Communications
Example 3.1: Consider the integrand dened on p. 1447 of [12]:
Ax
()
.
2
=
−+ +−
(3.17)
It satises the SE condition under Chebyshev dynamical systems (3.11) of order p = 2 and p = 4.
Figure 3.1 shows the results of applying the chaotic MC simulation to nd the integral of A(x) using
Chebyshev chaotic mappings and compares their convergence rates with the conventional MC
simulation using uniform PR samples.
The numerical results verify that the chaotic MC simulation is SE when p = 2 and p = 4. On the
other hand, both conventional and chaotic MC simulation with p = 5 have converg ...