After a system has been defined mathematically (in terms of Transfer
Function, State Space, ... or any other mathematical representation), it is then
possible to determine how the system behaves as a function of time for a given
input and initial conditions. The response to the initial conditions alone
(with no input) is called the zero-input response; the response due to the
inputs alone (with initial conditions at t=0^{-} equal to zero) is
called the zero-state response. The most commonly determined transient
responses are those due to a step, an impulse and a sinusoid. The
transient response is closely linked to the frequency response and the poles and
zeros of the transfer function.

The map above shows (among other things):

- different methods used to determine the transient (determined by)
- responses to particular inputs (has type)
- how the transient response relates to frequency response and pole-zero representation (related to)