Struct eom::ode::Lorenz63

pub struct Lorenz63 {
    pub p: f64,
    pub r: f64,
    pub b: f64,
}

Lorenz three-variables system, “The chaotic attractor”

$$ \begin{align*} \frac{dx}{dt} &= r(y-x) \\ \frac{dy}{dt} &= x(p-z) -y \\ \frac{dz}{dt} &= xy - bz \end{align*} $$ $(p, r, b)= (10, 28, 8/3)$ is original and commonly used parameter.

Links

• Wikipedia https://en.wikipedia.org/wiki/Lorenz_system

Fields

p: f64

r: f64

b: f64

Implementations

impl Lorenz63

pub fn new(p: f64, r: f64, b: f64) -> Self

Trait Implementations

impl Clone for Lorenz63

fn clone(&self) -> Lorenz63

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Lorenz63

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

Formats the value using the given formatter.

impl Default for Lorenz63

fn default() -> Self

Returns the “default value” for a type.

impl Explicit for Lorenz63

fn rhs<'a, S>( &mut self, v: &'a mut ArrayBase<S, Ix1> ) -> &'a mut ArrayBase<S, Ix1>where S: DataMut<Elem = f64>,

Evaluate $f(x)$ for a given state $x$

impl ModelSpec for Lorenz63

type Scalar = f64

type Dim = Dim<[usize; 1]>

fn model_size(&self) -> usize

Number of scalars to describe the system state.

impl SemiImplicit for Lorenz63

fn nlin<'a, S>( &mut self, v: &'a mut ArrayBase<S, Ix1> ) -> &'a mut ArrayBase<S, Ix1>where S: DataMut<Elem = f64>,

Non-stiff part $f(x)$

fn diag(&self) -> Array<f64, Ix1>

Diagonal elements of stiff linear part of $A$

impl Copy for Lorenz63