Class HopfCurveTwo

source code

  object --+    
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Continuation --+
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              HopfCurveTwo

Child of Continuation class that represents curves of Hopf points.

Augmented system h(x,a): Uses double bordering on the matrix A given by

        A = f_{x}^{2}(x,a) + _k*I_{n}

    (see class PyCont.TestFunc.BorderMethod)
    (see class PyCont.TestFunc.Hopf_Double_Bor_Two)

    The continuation variables are (x,a,_k) with

        x = State variables
        a = Free parameters
        _k = w^2 = Square of pure imaginary eigenvalue associated with Hopf point
            (auxiliary parameter)

    and the continuation curve is defined by

                    { f(x,a) = 0
        h(x,a,_k) = { G_{1,1}(x,a,_k) = 0
                    { G_{2,2}(x,a,_k) = 0

Detection of points: BT, ZH, GH