3 research outputs found
Bifurcation analysis of the Topp model
In this paper, we study the 3-dimensional Topp model for the dynamicsof diabetes. We show that for suitable parameter values an equilibrium of this modelbifurcates through a Hopf-saddle-node bifurcation. Numerical analysis suggests thatnear this point Shilnikov homoclinic orbits exist. In addition, chaotic attractors arisethrough period doubling cascades of limit cycles.Keywords Dynamics of diabetes 路 Topp model 路 Reduced planar quartic Toppsystem 路 Singular point 路 Limit cycle 路 Hopf-saddle-node bifurcation 路 Perioddoubling bifurcation 路 Shilnikov homoclinic orbit 路 Chao