Maybe it seems a dumb question, but I can't understand what the cycle in a damped oscillation is?
Let's take an example: In harmonic motion, one cycle is the smallest distinguishable part of wave that makes the pattern.
But in a damped oscillator, there is no such pattern, because the amplitude changes with time.
Ok. but we can define it by wavelength - one cycle is when a part of the wave travels one wavelength. But then, what is wavelength? Let's define it once again. Wavelength is distance between two points on a wave, that have the same phase. But phase is a fraction of the cycle, ...
If someone would write a clear definition of how a full cycle is defined, I would be very thankful.