Higher octaves create more jagged or fuzzy turbulence and takes longer to compute. Section 7.6.8.6 Lambda parameter controls how statistically different the random move of an octave is compared to its previous octave. The default value is 2.0 which is quite random. Values close to lambda 1.0 will straighten out the randomness of the path in the diagram above. The zig-zag steps in the calculation are in nearly the same direction.
Higher values can look more swirly under some circumstances.
Section 7.6.8.7 Omega value controls how large each successive octave step is compared to the previous value. Each successive octave of turbulence is multiplied by the omega value. Higher omega values mean that 2nd, 3rd, 4th and up octaves contribute more turbulence giving a sharper, crinkly look while smaller omegas give a fuzzy kind of turbulence that gets blurry in places. The warp statement is a pattern modifier that is similar to turbulence. Turbulence works by taking the pattern evaluation point and pushing it about in a series of random steps.