  This paper focuses on computing the frequency response and transfer functions
for large self-similar networks under different circumstances. Modeling large
scale systems is difficult due, typically, to the dimension of the problem, and
self-similarity is the characteristic we exploit to make the problem more
tractable. For each circumstance, we propose algorithms to obtain both transfer
functions and frequency response, and we show that finite networks' dynamics
are integer order, while infinite networks are fractional order or irrational.
Based on that result, we also show that the effect of varying a network's
operating condition to its dynamics can always be isolated, which is then
expressed as a multiplicative disturbance acting upon a nominal plant. In
addition, we analyze the non-integer-order nature residing in infinite
dimensional systems in the context of self-similar networks. Finally,
leveraging the main result of this paper, we also illustrate its capability of
approximating some irrational expressions by using rational functions.
