6 research outputs found
Bifurcation analysis of the Topp model
Get PDFIn 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 · Topp model · Reduced planar quartic Toppsystem · Singular point · Limit cycle · Hopf-saddle-node bifurcation · Perioddoubling bifurcation · Shilnikov homoclinic orbit · Chao
Poincaré and Plancherel : Polya Inequalities in Harmonic Analysis on Weighted Combinatorial Graphs
No full textPoincaré and Plancherel--Polya Inequalities in Harmonic Analysis on Weighted Combinatorial Graphs
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