Struct FlowMap 

pub struct FlowMap {
    pub dim: usize,
    pub dt: f64,
}

Numerical flow integration for autonomous ODEs ẋ = f(x).

Uses a fixed-step 4th-order Runge–Kutta integrator.

Fields

dim: usize

Dimension of the state space.

dt: f64

Integration step size.

Implementations

impl FlowMap

pub fn new(dim: usize, dt: f64) -> Self

Create a flow map integrator.

pub fn advance<F>(&self, init: &[f64], n_steps: usize, f: &F) -> Vec<f64>

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

Advance the state by n_steps using RK4 with the vector field f.

pub fn trajectory<F>( &self, init: &[f64], n_steps: usize, f: &F, ) -> Vec<Vec<f64>>

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

Generate a trajectory (list of states) of length n_steps + 1.

pub fn stroboscopic_map<F>( &self, init: &[f64], n_periods: usize, steps_per_period: usize, f: &F, ) -> Vec<Vec<f64>>

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

Stroboscopic map: sample the trajectory at every period steps.

pub fn fundamental_solution_matrix<F>( &self, init: &[f64], n_steps: usize, f: &F, ) -> Vec<Vec<f64>>

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

Compute the fundamental solution matrix (monodromy-like) by propagating dim perturbation vectors alongside the trajectory.

Returns a dim × dim matrix in row-major order (each row is a transported unit vector).

Trait Implementations

impl Clone for FlowMap

fn clone(&self) -> FlowMap

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for FlowMap

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

Formats the value using the given formatter.