lanast

It might be worth to monitor how the eigenvalues and the determinant of the (extended) Jacobian matrix move, with variations of your continuation parameter. Also it would be valuable to see if the algorithm detected a sign change and how many (if any) bisections it processed in order to pin-point the bifurcation before moving on, (prof. Meijer please correct me if wrong).

One more comprehension question: for a system with symmetry, I am detecting a branch point of equilibria which appears to be equivalent to a pitchfork bifurcation. Is it possible to continue this point in a codimension-2 study in MatCont by variation of a second parameter?

Thanks for this hint professor

Quite a few bibliographical sources observe, that a branch point of equilibria is not an inherent codimension-1 bifurcation, and rather a codimension-2 special point. However, MatCont seems to be doing a pretty good job on detecting pitchfork bifurcations of equilibria as "BP", agreeing well with the underlying physical effects, and this bifurcation appears to be in the same hierarchy as the Limit point and the Andronov-Hopf point within the code. So, could anyone offer an explanation on why branch...

Quite a few bibliographical sources observe, that a branch point of equilibria is not an inherent codimension-1 bifurcation, and rather a codimension-2 special point. However, MatCont seems to be doing a pretty good job on detecting pitchfork bifurcations of equilibria as "BP", agreeing well with the underlying physical effects, and this bifurcation appears to be in the same hierarchy as the Limit point and the Andronov-Hopf point within the code. So, could anyone offer an explanation on why branch...

Quite a few bibliographical sources observe, that a branch point of equilibria is not an inherent codimension-1 bifurcation, and rather a codimension-2 special point. However, MatCont seems to be doing a pretty good job on detecting pitchpoint bifurcations of equilibria as "BP", agreeing well with the underlying physical effects, and this bifurcation appears to be in the same hierarchy as the Limit point and the Andronov-Hopf point within the code. So, could anyone offer an explanation on why branch...

Hello community While deploying a mutli-degree-of-freedom system in Matcont, I am discovering, that for systems of 40-50 degrees of freedom, Matlab runs out of memory, apparently due to the request for building the bialternate matrix. If I am not wrong, this matrix is used for tracing Hopf bifurcations, but why are the dimension of this matrix so enormous? Thank you All the best, lanast

Thank you Hil, this clarifies alot. Best regards