Chaos theory analysis — Lyapunov exponents, bifurcation, attractors, fractals
Analyze dynamical systems and time series for chaotic behavior.
When the user has time series data that might be chaotic, wants to study dynamical systems, or needs fractal dimension estimates.
use ix_chaos::lyapunov::{mle_1d, classify_dynamics};
use ix_chaos::bifurcation::bifurcation_diagram;
use ix_chaos::attractors::{lorenz, integrate};
use ix_chaos::fractal::box_counting_dimension_2d;
use ix_chaos::embedding::{delay_embed, optimal_delay};
For the logistic map x_{n+1} = r * x_n * (1 - x_n):