What are the characteristics of simple harmonic motion?

The characteristics of simple harmonic motion are undamped, undriven, periodic motion. Any equation of motion that can be derived through the use of the following restoring force: F = -kx, where F is the force vector, k is the spring constant, and x is displacement vector, will exhibit simple harmonic motion. The motion itself is described by the equation x(t) = Acos(wt + p), where x(t) is the position as a function of time, A is the amplitude of the motion, w is its angular frequency, and p is the phase.