Struct KuramotoSystem 

pub struct KuramotoSystem {
    pub order: KuramotoOrder,
    pub coupling_coeffs: DMatrix<f32>,
    pub damping_coeffs: DVector<f32>,
    pub forcing_params: DVector<f32>,
}

Kuramoto system of ODEs.

The state variables of the system are the phase angles ϕ_i and, in the second-order case, also the angular frequencies ω_i. The notation here follows Nitzbon et al 2017.

Fields

order: KuramotoOrder

Differential order of the system.

coupling_coeffs: DMatrix<f32>

Coupling coefficients K_{i,j} between the oscillators (nonnegative).

damping_coeffs: DVector<f32>

Damping coefficients α_i (nonnegative).

forcing_params: DVector<f32>

Forcing parameter P_i (arbitrary sign).

In the first-order case, these constant offsets are the inherent frequencies of the oscillators, but in the second-order case, their relationship to the inherent frequencies is more complicated; see Nishikawa & Motter 2015.

Implementations

impl KuramotoSystem

pub fn fully_connected_homogeneous( order: KuramotoOrder, forcing_params: DVector<f32>, ) -> Self

Constructs a homogeneous Kuramoto system on the complete graph.

Trait Implementations

impl Clone for KuramotoSystem

fn clone(&self) -> KuramotoSystem

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for KuramotoSystem

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

Formats the value using the given formatter.

impl ODESystem for KuramotoSystem

fn vector_field(&self, dx: &mut DVector<f32>, x: &DVector<f32>, _t: f32)

Compute the vector field at the given time and state in place.

fn eval_vector_field(&self, x: &DVector<f32>, t: f32) -> DVector<f32>

Compute and return the vector field at the given time and state.

impl PartialEq for KuramotoSystem

fn eq(&self, other: &KuramotoSystem) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl StructuralPartialEq for KuramotoSystem