Lucas A MacQuarrie

I'm trying to produce a limit cycle as in "Advances in numerical continuation software: MatCont" tutorial C, and I am able to continue a limit cycle of interest in my system. My problem comes with trying to control how the limit cycle is continue, specifically I seem to have no control over when a limit cycle is graphed with a given parameter value. Attached is two images, one of my solution (which is a blob) and the other is the solution given in the paper. I would like to edit mine such that the...

Perhaps late, but it seems BP is also called a transcritical bifurcation