Struct RosslerSystem 

pub struct RosslerSystem {
    pub a: f64,
    pub b: f64,
    pub c: f64,
}

Parameters and state for the Rössler system.

The Rössler equations are:

dx/dt = −y − z
dy/dt = x + ay
dz/dt = b + z(x − c)

Typical chaotic parameters: a = 0.2, b = 0.2, c = 5.7.

Fields

a: f64

Parameter a (spiral rate).

b: f64

Parameter b (z-coupling).

c: f64

Parameter c (nonlinear threshold).

Implementations

impl RosslerSystem

pub fn new(a: f64, b: f64, c: f64) -> Self

Creates a new Rössler system with the given parameters.

pub fn classic() -> Self

Creates the classic chaotic Rössler system (a=0.2, b=0.2, c=5.7).

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

Computes the time derivative [dx/dt, dy/dt, dz/dt].

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

Integrates using RK4 for steps steps of size dt.

pub fn approximate_period(&self) -> f64

Approximate period of the spiral for small-amplitude oscillations.

Trait Implementations

impl Clone for RosslerSystem

fn clone(&self) -> RosslerSystem

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for RosslerSystem

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

Formats the value using the given formatter.