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object --+ | Continuation --+ | 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
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Inherited from Inherited from Inherited from |
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Inherited from |
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x.__init__(...) initializes x; see x.__class__.__doc__ for signature
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Update parameters for HopfCurveTwo.
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Creates processors and test functions for HopfCurveTwo class. Note: In the following list, processors are in PyCont.Bifpoint and test functions are in PyCont.TestFunc. Point type (Processor): Test function(s) ---------------------------------------------- BT (BTPoint): BT_Hopf ZH (ZHPoint): Fold_Det (or Fold_Bor) GH (GHPoint): GH_Hopf
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