The fact that the waveforms shown aren't monochromatic doesn't, by itself, have anything to do with any dispersion of the gravitational waves themselves. So it doesn't make sense to use the former to discuss the latter.
It suffices to read the relevant section of the paper, that does discuss dispersion.
AW: If you look at the diagram there is a clear bifurcation in the signal,
Dispersion is not visible as other frequencies, it produces a small and monotonically varying delay in the signal depending on the chirp frequency so it would only show up as a time difference between the observed waveform and the wavelet filtered version in the lower two plots in your image which differs from the amount expected from precession of the black hole spins. The upper two plots show the wave amplitude as the magnitude irrespective of phase so automatically exclude dispersion.
AW: what is the explanation for that bifurcation
It looks like the alias signal you would expect from intermodulation of the astrophysical signal with other fixed frequency signals in the system such as the suspension resonance or one of the injected fixed-frequency calibration signals but that's just a guess, there are many possibilities.
To me it doesn't look like a "bifurcation", it looks like a crossover of a lower level descending chirp added to the stronger ascending signal. That would be the characteristic of an alias, a mirror image in the FFT about a fixed frequency.
Looking at the GW151226 release, there seem to be two cross-overs, one at 60Hz which is the US power frequency and the other at 120Hz, its second harmonic. The implication is that the background noise is an intermodulation product with breakthrough of the local power supply.
Actually what we are seeing is the inside of a black hole, the two crossover points are the crossing of two event horizons, the larger and the smaller.
It is possible to predict the frequencies of the GW and the precise ratios of the max and min frequencies of the bifurcations using this model.
With the third event showing this,the evidence is more solid. But it can be predicted that future events will follow this model
That doesn't work Andrew, the waves are produced by the orbital motion of the bodies, not the horizons. If there were two frequency components to the wave, the BH would have to have split into two parts, one orbiting slowly and the other more rapidly.
You don't get it Andrew, the waves are only formed several radii away from the binary system and move outwards, they never get anywhere near the horizons.
It's the same distinction as what are called "near field effects" in EM. Have you never used a contactless credit card, or picked up a pin with a magnet, or felt the 'static from a balloon rubbed on cloth? These phenomena are real but they are not Hertzian wave solutions.
Right, as does the Coulomb force (seen by an observer close to the electron) which gives us static electricity, but the wave format only becomes dominant at distance. Try to follow the analogy Andrew, there are differences in the format of the waves (quadrupole versus dipole) but this aspect is comparable.
Good question Andrew, Hanford and Livingston signals on the whole follow theoretical predictions, given by the black line. The residuals are not exactly random noise. At some places Hanford signal is just out of phase with Livingston signal (0.54, 0.55, 0.59, 0.62), I am sure a lot of people are carefully looking at the residual pattern and deduce it's Physics implications.
I have analysed the data without assuming GTR is necessarily correct. On this in depth analysis the bifurcation appears to occur at the event horizon.
Interestingly, if that is the case what we are seeing, using the gravitational wave telescope (LIGO), after the bifurcation is what is happening inside the black hole itself.
I doubt whether you actually know GTR (general theory of relativity). It is so complex that Einstein himself could not use it, which is obvious if you read his original papers.
So if you can show me how to calculate the advance in the perihelion of Mercury (it is possible to do so readily), let me know.
You've been given one possibility already Andrew, an alias between the true signal and other fixed frequencies in the system. What analysis have you done to rule that out? Have you contacted the LIGO team to ask their opinion? They probably know already.
Why? I've spent many hours in the last couple of months proving that the aliases in the radio our team is designing are below the required limits and there is no question that this mechanism will occur in LIGO too.