Package PyDSTool :: Package PyCont :: Module Continuation :: Class HopfCurveOne
[hide private]
[frames] | no frames]

Class HopfCurveOne

source code

  object --+    
           |    
Continuation --+
               |
              HopfCurveOne

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 = 2*f_{x}(x,a) (*) I

    where (*) denotes the bi-alternate matrix product.

    (see class PyCont.TestFunc.BiAltMethod)
    (see class PyCont.TestFunc.BorderMethod)
    (see class PyCont.TestFunc.Hopf_Double_Bor_One)

    The continuation variables are (x,a) with

        x = State variables
        a = Free parameters

    and the continuation curve is defined by

        h(x,a) = { f(x,a) = 0
                 { det(G) = 0

Detection of points: BT, ZH, GH, DH

Instance Methods [hide private]
 
__init__(self, model, gen, automod, plot, _args=None)
x.__init__(...) initializes x; see x.__class__.__doc__ for signature
source code
 
update(self, args)
Update parameters for HopfCurveOne.
source code
 
_createTestFuncs(self)
Creates processors and test functions for HopfCurveOne class.
source code
 
_bialttoeig(self, X, V) source code

Inherited from Continuation: __copy__, __deepcopy__, __repr__, __str__, backward, cleanLabels, computeEigen, display, exportGeomview, forward, getSpecialPoint, info, reset, testdomain, testdomaingrid, testdomaintangrid

Inherited from object: __delattr__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self, model, gen, automod, plot, _args=None)
(Constructor)

source code 

x.__init__(...) initializes x; see x.__class__.__doc__ for signature

Overrides: object.__init__
(inherited documentation)

update(self, args)

source code 

Update parameters for HopfCurveOne.

Overrides: Continuation.update

_createTestFuncs(self)

source code 

Creates processors and test functions for HopfCurveOne 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_One DH (DHPoint): DH_Hopf ZH (ZHPoint): Fold_Det (or Fold_Bor) GH (GHPoint): GH_Hopf_One

Overrides: Continuation._createTestFuncs