Kaplan-Yorke conjecture

The Kaplan-Yorke conjecture relates the Lyapunov spectrum of a dynamical system to the fractal dimension of its strange attractor. It proposes that the dimension can be computed as the sum of positive Lyapunov exponents divided by the largest negative exponent, linking dynamical instability directly to geometric complexity. Though proven for some classes of systems, it remains a conjecture in full generality.