A circuit that is time-invariant but time-varying response

[anhnha]

Please clarify this?

The PSS analysis is capable of handling both autonomous (non-driven) and non-autonomous (driven) circuits. Autonomous circuits are time-invariant circuits that have time-varying responses. Thus, autonomous circuits generate non-constant waveforms even though they are not driven by a time-varying stimulus.

I really can't think of a circuit that satisfies both condictions:

+ time-invariant
+ time-varying response

 

[FvM]

Oscillators for example

 

[anhnha]

With oscillators, what is its input, dc voltage source, sinusoidal output or no input?

 

[vfone]

Sometimes oscillators are named DC to AC converters, because they are able to generate AC signals itself, the circuit being supplied only by a DC source.
The output of an oscillator could be any kind of repetitive signal, but the most used waveforms in electronics are sine wave and square wave.