Struct SynchronizationAnalysis 

pub struct SynchronizationAnalysis;

Synchronisation analysis for coupled oscillators / chaotic systems.

Implementations

impl SynchronizationAnalysis

pub fn pecora_carroll_sync( drive_orbit: &[Vec<f64>], response_orbit: &[Vec<f64>], sync_idx: usize, tol: f64, ) -> bool

Pecora–Carroll synchronisation check.

Drives a response system (with the same structure as the drive) by replacing one of its variables with the drive’s corresponding variable.

Returns true if the synchronisation error decays below tol.

drive_orbit and response_orbit are trajectories of the same length; sync_idx is the variable index that is replaced in the response.

pub fn phase_synchronization_index(phi1: &[f64], phi2: &[f64]) -> f64

Phase synchronisation index (mean resultant length of phase differences).

Given two phase time-series phi1 and phi2 (in radians), computes

R = |⟨exp(i(φ₁ − φ₂))⟩|

R = 1 means perfect phase synchronisation; R ≈ 0 means asynchronous.

pub fn generalised_sync_check( resp1: &[Vec<f64>], resp2: &[Vec<f64>], tol: f64, ) -> bool

Generalised synchronisation check via the auxiliary system method.

Two copies of the response system starting at different initial conditions should converge to the same trajectory if GS holds. Returns true if the distance between resp1 and resp2 at the end is below tol.

pub fn mutual_information(x: &[f64], y: &[f64], n_bins: usize) -> f64

Mutual information estimate between two scalar signals using histogram binning with n_bins bins.

pub fn instantaneous_phase(signal: &[f64]) -> Vec<f64>

Compute instantaneous phase of a signal via the Hilbert transform approximation (using the discrete analytic signal via FFT-like unwrapping).

This is a simple numerical approximation using finite differences. Returns the unwrapped phase array.

pub fn cross_correlation_zero_lag(x: &[f64], y: &[f64]) -> f64

Cross-correlation between two signals at lag 0 (normalised).

Trait Implementations

impl Clone for SynchronizationAnalysis

fn clone(&self) -> SynchronizationAnalysis

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SynchronizationAnalysis

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

Formats the value using the given formatter.