Struct BifurcationAnalyzer

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pub struct BifurcationAnalyzer {
    pub dimension: usize,
    pub parameter_range: (f64, f64),
    pub parameter_samples: usize,
    pub fixed_point_tolerance: f64,
    pub max_iterations: usize,
}

Expand description

Bifurcation analyzer for parametric dynamical systems

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§dimension: usize

System dimension

§parameter_range: (f64, f64)

Parameter range to analyze

§parameter_samples: usize

Number of parameter values to sample

§fixed_point_tolerance: f64

Tolerance for detecting fixed points

§max_iterations: usize

Maximum number of iterations for fixed point finding

Implementations§

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impl BifurcationAnalyzer

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pub fn new( dimension: usize, parameterrange: (f64, f64), parameter_samples: usize, ) -> Self

Create a new bifurcation analyzer

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pub fn continuation_analysis<F>( &self, system: F, initial_guess: &Array1<f64>, ) -> IntegrateResult<Vec<BifurcationPoint>>
where F: Fn(&Array1<f64>, f64) -> Array1<f64> + Send + Sync,

Perform continuation analysis to find bifurcation points

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pub fn two_parameter_analysis<F>( &self, system: F, parameter_range_1: (f64, f64), parameter_range_2: (f64, f64), samples_1: usize, samples_2: usize, initial_guess: &Array1<f64>, ) -> IntegrateResult<TwoParameterBifurcationResult>
where F: Fn(&Array1<f64>, f64, f64) -> Array1<f64> + Send + Sync,

Advanced two-parameter bifurcation analysis

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pub fn pseudo_arclength_continuation<F>( &self, system: F, initial_point: &Array1<f64>, initial_parameter: f64, direction: &Array1<f64>, step_size: f64, max_steps: usize, ) -> IntegrateResult<ContinuationResult>
where F: Fn(&Array1<f64>, f64) -> Array1<f64> + Send + Sync,

Pseudo-arclength continuation for tracing bifurcation curves

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pub fn sensitivity_analysis<F>( &self, system: F, nominal_parameters: &HashMap<String, f64>, parameter_perturbations: &HashMap<String, f64>, nominal_state: &Array1<f64>, ) -> IntegrateResult<SensitivityAnalysisResult>
where F: Fn(&Array1<f64>, &HashMap<String, f64>) -> Array1<f64> + Send + Sync,

Multi-parameter sensitivity analysis

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pub fn normal_form_analysis<F>( &self, system: F, bifurcation_point: &BifurcationPoint, ) -> IntegrateResult<NormalFormResult>
where F: Fn(&Array1<f64>, f64) -> Array1<f64> + Send + Sync,

Normal form analysis near bifurcation points

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pub fn predictor_corrector_continuation<F>( &self, system: F, initial_solution: &Array1<f64>, initial_parameter: f64, ) -> IntegrateResult<Vec<BifurcationPoint>>
where F: Fn(&Array1<f64>, f64) -> Array1<f64> + Send + Sync,

Advanced continuation method with predictor-corrector

Auto Trait Implementations§

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impl UnwindSafe for BifurcationAnalyzer

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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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