Struct DynamicalNormalForm 

pub struct DynamicalNormalForm {
    pub bif_type: BifurcationType,
    pub mu: f64,
}

Normal-form vector field evaluator.

Fields

bif_type: BifurcationType

Bifurcation type.

mu: f64

Bifurcation parameter μ.

Implementations

impl DynamicalNormalForm

pub fn new(bif_type: BifurcationType, mu: f64) -> Self

Create a new normal form.

pub fn rhs(&self, state: &[f64]) -> Vec<f64>

Evaluate the vector field at state x (scalar for 1D, (r, θ) for Hopf).

For 1D normal forms state[0] = x. For Hopf state[0] = r, state[1] = θ.

pub fn fixed_points_1d(&self) -> Vec<f64>

Fixed points of the 1D normal form.

Returns up to 3 fixed-point values. Empty vec if none exist for the given μ.

pub fn integrate_euler(&self, init: &[f64], dt: f64, n: usize) -> Vec<Vec<f64>>

Euler-integrate the normal form for n steps with step size dt.

pub fn stability_1d(&self, x_star: f64) -> Stability

Classify the stability of a 1D fixed point x* via the sign of the linearisation f'(x*).

Trait Implementations

impl Clone for DynamicalNormalForm

fn clone(&self) -> DynamicalNormalForm

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for DynamicalNormalForm

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

Formats the value using the given formatter.