Struct PoincareSection 

pub struct PoincareSection {
    pub normal: Vec<f64>,
    pub origin: Vec<f64>,
    pub intersections: Vec<Vec<f64>>,
}

Poincaré section analysis for flows or maps.

Records intersections of a trajectory with a hyperplane defined by normal · (x − origin) = 0.

Fields

normal: Vec<f64>

Normal vector of the section hyperplane.

origin: Vec<f64>

A point on the section hyperplane (origin).

intersections: Vec<Vec<f64>>

Collected intersection points.

Implementations

impl PoincareSection

pub fn new(normal: Vec<f64>, origin: Vec<f64>) -> Self

Create a new Poincaré section.

pub fn signed_distance(&self, p: &[f64]) -> f64

Signed distance of point p from the section.

pub fn process_trajectory(&mut self, traj: &[Vec<f64>])

Process a trajectory (list of states) and record all up-crossings of the section using linear interpolation.

pub fn return_map_1d(&self, idx: usize) -> Vec<(f64, f64)>

Compute the return map: the sequence of successive intersection coordinates along axis idx.

pub fn rotation_number(&self, angle_idx_x: usize, angle_idx_y: usize) -> f64

Rotation number: average angular advance between successive crossings.

Assumes the section is in a 2D projection and computes the angle of each crossing relative to the section origin.

pub fn count(&self) -> usize

Number of recorded intersections.

pub fn clear(&mut self)

Clear all recorded intersections.

Trait Implementations

impl Clone for PoincareSection

fn clone(&self) -> PoincareSection

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for PoincareSection

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

Formats the value using the given formatter.