Transcritical-like Bifurcation in a Model of a Bioreactor
نویسندگان
چکیده
A non-standard bifurcation, similar to a transcritical one, in a model of a bioreactor has been detected. This happens in a periodically-forced system with restrictions on the state space. The bioreactor is periodically fed with substrate. In the mathematical model, a periodic orbit approaches (without hitting) the restriction surface as a bifurcation parameter is varied. The way the orbit approaches the switching surface in the three-dimensional state space is such that it becomes parallel to the restriction surface. This phenomenon is somehow analogous to a transcritical bifurcation since another periodic orbit exists inside the restriction surface, but they do not collide. Full model and bifurcation description are shown.
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