Struct LorenzSystem 

pub struct LorenzSystem {
    pub sigma: f64,
    pub rho: f64,
    pub beta: f64,
}

Parameters and state for the Lorenz attractor.

The Lorenz equations are:

dx/dt = σ(y − x)
dy/dt = x(ρ − z) − y
dz/dt = xy − βz

with the classic chaotic parameters σ = 10, ρ = 28, β = 8/3.

Fields

sigma: f64

Prandtl number σ.

rho: f64

Rayleigh number ρ.

beta: f64

Geometric factor β.

Implementations

impl LorenzSystem

pub fn new(sigma: f64, rho: f64, beta: f64) -> Self

Creates a new Lorenz system with the given parameters.

pub fn classic() -> Self

Creates the classic chaotic Lorenz system (σ=10, ρ=28, β=8/3).

pub fn deriv(&self, state: [f64; 3]) -> [f64; 3]

Computes the time derivative [dx/dt, dy/dt, dz/dt] at state [x, y, z].

pub fn integrate( &self, initial: [f64; 3], dt: f64, steps: usize, ) -> Vec<[f64; 3]>

Integrates using the 4th-order Runge-Kutta method for steps steps of size dt.

pub fn fixed_points(&self) -> [[f64; 3]; 3]

Returns the three fixed points of the Lorenz system (origin and two symmetric points).

pub fn jacobian(&self, state: [f64; 3]) -> [[f64; 3]; 3]

Computes the Jacobian matrix at state [x, y, z] as a row-major 3×3 array.

Trait Implementations

impl Clone for LorenzSystem

fn clone(&self) -> LorenzSystem

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for LorenzSystem

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

Formats the value using the given formatter.