AsymptoticNumericalMethod.ANM — Type

Continuation algorithm based on Asymptotic Numerical Method. It can be used from the package https://github.com/bifurcationkit/AsymptoticNumericalMethod.jl

Fields

  • order::Int64: order of the polynomial approximation

  • tol::Any: tolerance which is used to estimate the neighbourhood on which the polynomial approximation is valid

References

  • Charpentier, Isabelle, Bruno Cochelin, and Komlanvi Lampoh. “Diamanlab - An Interactive Taylor-Based Continuation Tool in MATLAB,” n.d., 12.

  • Rubbert, Lennart, Isabelle Charpentier, Simon Henein, and Pierre Renaud. “Higher-Order Continuation Method for the Rigid-Body Kinematic Design of Compliant Mechanisms”, n.d., 18.

AsymptoticNumericalMethod.ANMResult — Type

Continuation result from the ANM method.

Fields

  • polU::Any: Vector of Taylor series solutions

  • polp::Any: Vector of Taylor series parameter

  • radius::Vector: Radius of validity for each Taylor series

  • branch::BifurcationKit.AbstractResult: Corresponnding ::ContResult

BifurcationKit.continuation — Method
continuation(
    prob,
    alg,
    contParams;
    linear_algo,
    plot,
    normC,
    finalise_solution,
    callback_newton,
    kind,
    verbosity,
    kwargs...
)

Arguments