Planar quartic-quadratic fold-fold singularity of Filippov systems and its bifurcation

被引：2
作者：
Carvalho, Tiago [1 ]
机构：
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Computacao & Matemat, Ave Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, Brazil
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 134卷
基金：
巴西圣保罗研究基金会;
关键词：
Filippov systems; Fold singularity; Bifurcation; DYNAMIC-MODEL; LIMIT-CYCLES; PIECEWISE; THERAPY; HIV-1;
D O I：
10.1016/j.cnsns.2024.108012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic contact of one vector field and a quartic contact of another vector field at the same point of the switching manifold. By means of a three parameter perturbation, we observe the presence of bifurcations like: Hopf Bifurcation, Sliding Hopf Bifurcation, the birth and annihilation of chaotic scenarios, among others. The two and three dimensional bifurcation diagrams are included.
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