Sprott–Linz Case S — dx/dt = −x − a·y, dy/dt = x + z², dz/dt = b + x. Classic chaotic a=4.00 b=1.00. Linear damping + quadratic-z fold, bulk centroid ≈ (−1.00, 0.25, 0.54). Distinct from Case R (a−y, b+z, x·y−z), Case Q (−z, x−y, a·x+y²+b·z), Case P (a·y+z, −x+y², x+b·y), Case O (y, x−z, a·x+x·z+b·y), Case N (−a·y, x+z², 1+x), Case M (−z, −x²−y, a+b·x+y), Case L (y+a·z, b·x²−y, 1−x), Case K (x·y−z, x−y, x+a·z), Case J (a·z, −a·y+z, −x+y), Case I (−a·y, x+z, x+y²−a·z), Case H (−y+z², x+a·y, x−b·z), Case G (a·x+b·z, xz−y, −x+y), Case F (y+z, −x+a·y, x²−b·z), Case E (yz, x²−y, 1−a·x), Case D/C/B/A, and Lorenz-84. RK4, not sprott-linz-r.html, not sprott-linz-q.html, not sprott-linz-p.html, not sprott-linz-o.html, not sprott-linz-n.html, not sprott-linz-m.html, not sprott-linz-l.html, not sprott-linz-k.html, not sprott-linz-j.html, not sprott-linz-i.html, not sprott-linz-h.html, not sprott-linz-g.html, not sprott-linz-f.html, not sprott-linz-e.html, not sprott-linz-d.html, not sprott-linz-c.html, not sprott-linz-b.html, not sprott-linz-a.html, not sprott.html, not Lorenz-84, not Finance, not Bouali, not Genesio–Tesi, not Arnéodo, not Newton–Leipnik, not Rabinovich–Fabrikant, not Nosé–Hoover, not Rucklidge, not Wang–Sun, not Lü, not Chen, not four-wing Qi, not Dadras, not Halvorsen, not Chua, not Aizawa, not Thomas, not Rössler, not Lorenz butterfly, not Newton basins. Gold low-alpha trail, cap 650. RM = settled silhouette, no animate-on.