2012/08/08 by Anca Veronica Ion, Ion, Anca Veronica, Raluca Mihaela Georgescu +1
Computer Science · Mathematics · Physics and Astronomy · #37C75 #37G05 #37G15 #65L03 #Chaotic Dynamics (nlin.CD) #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Matrix Theory and Algorithms #Numerical methods for differential equations #math.DS #msc:37C75 #msc:37G05 #msc:37G15 #msc:65L03 #nlin.CD
paper · pdf · doi:10.48550/arxiv.1208.1707
To be presented at CAIM 2012 (Conference on Applied and Industrial Mathematics), 23-25 August 2012, Chisinau, Republic of Moldova
arxiv created 2012/08/08 · openalex publication_date 2012/08/08 · arxiv updated 2012/08/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
In a previous work we investigated the existence of Hopf degenerate bifurcation points for a differential delay equation modeling leukemia and we actually found Hopf points of codimension two for the considered problem. If around the parameters corresponding to such a point we vary two parameters (the considered problem has five parameters), then a Bautin bifurcation should occur. In this work we chose a Hopf point of codimension two for the considered problem and perform numerical integration for parameters chosen in a neighborhood of the bifurcation point parameters. The results show that, indeed, we have a Bautin bifurcation in the chosen point.