Struct LorenzSystem 

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

The Lorenz strange attractor.

ẋ = σ(y − x)
ẏ = x(ρ − z) − y
ż = xy − βz

Classic chaos 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

Create a Lorenz system.

pub fn classic() -> Self

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

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

Fixed points of the Lorenz system.

Returns origin, C+, and C- when ρ > 1, otherwise only the origin.

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.

impl OdeSystem for LorenzSystem

fn dim(&self) -> usize

Dimension of the state vector.

fn rhs(&self, _t: f64, x: &[f64]) -> Vec<f64>

Right-hand side evaluated at time t and state x.