Epsilon in Simple Harmonic Oscillators

[mikeyman2010]

Can anyone tell me what role epsilon play in a simple harmonic oscillator, and what the formula is relating epsilon to SHO?

[arildno]

Whatever are you talking about?
Perturbation series??

[mikeyman2010]

No, i remember there's this formula for SHO x=Acos(wt), but i know that epsilon can be added into this formula, but can't figure out what.

[arildno]

You are probably thinking of a non-linear second order effect.
This can happen in a variety of problems (for example, the simple pendulum, or gravity-driven wave-trains).
"epsilon" is a common symbol used as a perturbation parameter; since I don't know what problem you're thinking of, I can't help you further.

[arildno]

Or, are you simply think of the PHASE???????????????
That is, x=Asin(wt+e)???????????