Package PyDSTool :: Package Toolbox :: Module phaseplane :: Class fixedpoint_2D
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Class fixedpoint_2D

source code

   object --+    
            |    
fixedpoint_nD --+
                |
               fixedpoint_2D

IMPORTANT: Any complex eigenvectors are stored as pairs of real eigenvectors,
    with the understanding that the corresponding complex eigenvalues indicate the
    use of these eigenvectors as a solution basis with the trig functions.

The full, possibly complex eigenvectors are always available using np.linalg(fp.D)
for a fixedpoint_nD object 'fp'.

Instance Methods [hide private]
 
__init__(self, gen, pt, coords=None, jac=None, description='', normord=2, eps=1e-12)
pt must have same dimension as generator, but if a sub-system is being analyzed then specify the sub-system's variables using the coords argument.
source code
 
_classify(self) source code
 
toarray(self, restrict_to_coords=None)
restrict_to_coords option of ordered coordinate names (default None) ensures the return array only contains values of those coordinates in that order.
source code

Inherited from fixedpoint_nD: __getitem__, __setitem__

Inherited from fixedpoint_nD (private): _ensure_jac, _get_eigen

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

Class Variables [hide private]
  _classifcations = ('spiral', 'node', 'saddle')

Inherited from fixedpoint_nD (private): _classifications, _stability

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self, gen, pt, coords=None, jac=None, description='', normord=2, eps=1e-12)
(Constructor)

source code 

pt must have same dimension as generator, but if a sub-system is being analyzed then specify the sub-system's variables using the coords argument.

Overrides: object.__init__
(inherited documentation)

_classify(self)

source code 
Overrides: fixedpoint_nD._classify

toarray(self, restrict_to_coords=None)

source code 

restrict_to_coords option of ordered coordinate names (default None) ensures the return array only contains values of those coordinates in that order. Useful for interfacing with plotting commands.