Has anyone seen this form of a nonlinear equation with respect to X, but linear with respect to Y & Z? I provided a contour plot within the region for all 3 variables between -2 & 2. The plot is actually Z*conjugate(Z) so that the magnitude is above ZERO. If I am correct I may have seen this before in orbital mechanics, but my undergrad years are a bit behind me. I generated this eq. during a parametric analysis of a 2nd order oscillator. I would like to come up to speed about the physical phenomena this equation might describe.
Appreciate any feedback!