View source for Kaplan-Yorke conjecture

The '''Kaplan-Yorke conjecture''' relates the [[Lyapunov exponent|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.

[[Category:Mathematics]] [[Category:Systems]] [[Category:Physics]]