In the MATCONT / CL_MATCONT toolbox Hopf curves are computed by minimally extended defining systems,
cf. [22] §4.3.4.
The Hopf curve is defined by the following system
 |
(61) |
with the unknowns
and where
is obtained by solving
 |
(62) |
where
has eigenvalues
,
and
are chosen such that the matrix in
(62) is nonsingular.
and
are auxiliary
variables that can be adapted.
This method is implemented in the curve definition file hopf.m.