Struct AttractorAnalysis 

pub struct AttractorAnalysis {
    pub data: Vec<Vec<f64>>,
}

Tools for characterising attractors from time-series data.

Fields

data: Vec<Vec<f64>>

The embedded time-series (each inner Vec is one point in phase space).

Implementations

impl AttractorAnalysis

pub fn new(data: Vec<Vec<f64>>) -> Self

Create from a time-series.

pub fn find_fixed_points<F>(&self, f: F, tol: f64) -> Vec<Vec<f64>>

where F: Fn(&[f64]) -> Vec<f64>,

Find approximate fixed points: points where |f(x) − x| < tol.

f is the map applied once.

pub fn find_periodic_orbits<F>( &self, f: &F, period: usize, tol: f64, ) -> Vec<Vec<f64>>

where F: Fn(&[f64]) -> Vec<f64>,

Detect periodic orbits of period p: points where |f^p(x) − x| < tol.

pub fn correlation_dimension(&self, n_radii: usize) -> Vec<(f64, f64)>

Estimate the correlation dimension via the Grassberger–Procaccia algorithm.

Computes C(r) for a range of radii and returns (log_r, log_C) pairs from which the slope gives the correlation dimension.

pub fn rosenstein_lyapunov(&self, horizon: usize) -> Vec<f64>

Estimate the largest Lyapunov exponent from the data via the Rosenstein method.

Finds the nearest neighbour for each point, tracks divergence over horizon steps and returns the mean log-divergence as a function of time.

pub fn is_strange_attractor(&self) -> bool

Check whether the attractor looks strange by testing if the correlation dimension estimate is fractional (> 1.5).

Trait Implementations

impl Clone for AttractorAnalysis

fn clone(&self) -> AttractorAnalysis

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for AttractorAnalysis

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.