# How to tell if two oscillators are different

1. Mar 31, 2013

Hi all, this is my first time on PF. As one of my projects, I had to create a program to analyze a bunch of data involving oscillators. I'm supposed to find out how many different oscillators there are within all the data. I have it pretty much done, except one part. I don't actually know how to tell if two oscillators are the same or different.

The equations I'm supposed to use are:
x(t) = x_max cos(ωt + $\phi$)
v(t) = -ω x_max sin(ωt + $\phi$)
a(t) = -ω^2 x_max cos(ωt + $\phi$)

I'm given t, x, v, and a. I have managed to calculate all x_max, ω and $\phi$ value.

Basically what my questions are:
How do I know if two oscillators are the same or different?
If they have the same x_max value and ω value, but different $\phi$ value, are they still the same oscillator?

Thanks all

2. Mar 31, 2013