It's <Quoted Image Removed>, a two-parameter system with two critical points each of which may have a stable attractor of any period. So any two attractors (and quadratic Julia basins) can be combined, hence "matchmaker", as well as one Julia basin and one "near-miss" (producing high-iteration regions that resemble a disconnected quadratic Julia set, combined with a connected quadratic Julia basin) or no stable attractors at all (producing spacefilling fractals).
Cool. Some mathematical genius should do a perturbation method of it
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