This picture represents a 3D constraint manifold for differential algebraic equations in magnetohydrodynamic system with dissipation. A DAE occurs if one looks for a traveling wave solution between the left and right equilibria in MHD system with certain dissipative coefficients.
See W. Marszalek, Analysis of Partial Differential Algebraic Equations, PhD Thesis, North Carolina State University, Department of Mathematics, 1996.