Struct LyapunovCalculator

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pub struct LyapunovCalculator {
    pub n_exponents: usize,
    pub perturbation_magnitude: f64,
    pub renormalization_interval: usize,
    pub dt: f64,
}

Expand description

Lyapunov exponent calculator for chaos detection

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§n_exponents: usize

Number of exponents to calculate

§perturbation_magnitude: f64

Perturbation magnitude for tangent vectors

§renormalization_interval: usize

Renormalization interval

§dt: f64

Integration time step

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impl LyapunovCalculator

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pub fn new(nexponents: usize, dt: f64) -> Self

Create new Lyapunov calculator

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pub fn calculate_lyapunov_exponents<F>( &self, system: F, initial_state: &Array1<f64>, total_time: f64, ) -> IntegrateResult<Array1<f64>>
where F: Fn(&Array1<f64>) -> Array1<f64> + Send + Sync,

Calculate Lyapunov exponents using tangent space evolution

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pub fn calculate_largest_lyapunov_exponent<F>( &self, system: F, initial_state: &Array1<f64>, total_time: f64, min_separation: f64, max_separation: f64, ) -> IntegrateResult<f64>
where F: Fn(&Array1<f64>) -> Array1<f64> + Send + Sync,

Calculate largest Lyapunov exponent using Wolf’s algorithm

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pub fn estimate_lyapunov_from_timeseries( &self, timeseries: &Array1<f64>, embedding_dimension: usize, delay: usize, ) -> IntegrateResult<f64>

Estimate Lyapunov exponent from time series using delay embedding

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pub fn calculate_lyapunov_spectrum_with_errors<F>( &self, system: F, initial_state: &Array1<f64>, total_time: f64, n_trials: usize, ) -> IntegrateResult<(Array1<f64>, Array1<f64>)>
where F: Fn(&Array1<f64>) -> Array1<f64> + Send + Sync + Clone,

Calculate Lyapunov spectrum with error estimates

Auto Trait Implementations§

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impl UnwindSafe for LyapunovCalculator

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impl<T> Any for T
where T: 'static + ?Sized,

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fn from(t: T) -> T

Returns the argument unchanged.

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Calls U::from(self).

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Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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