About D_KY
The Kaplan-Yorke conjecture (1979) relates Lyapunov exponents to the fractal dimension of a chaotic attractor.
Sort exponents λ₁≥λ₂≥…≥λₙ. Find j where Σᵢ₌₁ʲ λᵢ ≥ 0 but Σᵢ₌₁ʲ⁺¹ λᵢ < 0.
D_KY = j + (λ₁+…+λⱼ)/|λⱼ₊₁|
For Lorenz: D_KY ≈ 2.06
For Rössler: D_KY ≈ 2.01
D_KY = Lyapunov dimension — numerically equals the information dimension (Ledrappier-Young theorem).