Editing Resonance (section)

==== Relationships between resonance and frequency response in the RLC series circuit example ====
These RLC circuit examples illustrate how resonance is related to the frequency response of the system. Specifically, these examples illustrate:
* How resonant frequencies can be found by looking for peaks in the gain of the transfer function between the input and output of the system, for example in a Bode magnitude plot
* How the resonant frequency for a single system can be different for different choices of system output
* The connection between the system's natural frequency, the system's damping ratio, and the system's resonant frequency
* The connection between the system's natural frequency and the magnitude of the transfer function's poles, pointed out in Equation ({{EquationNote|5}}), and therefore a connection between the poles and the resonant frequency
* A connection between the transfer function's zeroes and the shape of the gain as a function of frequency, and therefore a connection between the zeroes and the resonant frequency that maximizes gain
* A connection between the transfer function's zeroes and antiresonance

The next section extends these concepts to resonance in a general linear system.