Lyapunov dimension is a measure used to quantify the complexity of chaotic systems by examining how sensitive they are to initial conditions. It is defined through the exponential growth rate of nearby trajectories in a dynamical system, reflecting how these trajectories diverge over time. This dimension not only provides insight into the fractal nature of chaotic systems but also helps in understanding the underlying structure of attractors within those systems.
congrats on reading the definition of Lyapunov Dimension. now let's actually learn it.