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In the toolbox fold curves are computed by minimally extended defining systems
cf. [9], § 4.1.2.
The fold curve is defined by the following system
where (u,a) Î Rn+2, while g is obtained by solving
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, |
| (59) |
and wbor,vbor Î Rn are chosen such that the matrix in
(59) is nonsingular.
An advantage of this method is that the derivatives of g can be obtained
easily from the derivatives of fu(u,a):
where z is a state variable or an active parameter and w is obtained by solving
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æ ç
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ö ÷
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, |
| (60) |
This method is implemented in the curve definition file limitpoint.m.