@Article{AAM-36-3,
author = {Xiu, Qiwen and Pi, Dingheng},
title = {Bifurcation Analysis of a Class of Planar Piecewise Smooth Linear-Quadratic System},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {36},
number = {3},
pages = {282--308},
abstract = {<p style="text-align: justify;">In this paper, we consider a planar piecewise smooth differential system
consisting of a linear system and a quadratic Hamiltonian system. The quadratic system has some folds on the discontinuity line. The linear system may have
a focus, saddle or node. Our results show that this piecewise smooth differential
system will have two limit cycles and a sliding cycle. Moreover, this piecewise
smooth system will undergo pseudo-homoclinic bifurcation, Hopf bifurcation
and critical crossing bifurcation $CC$. Some examples are given to illustrate our
results.</p>},
issn = {},
doi = {https://doi.org/2020-AAM-18594},
url = {https://global-sci.com/article/72667/bifurcation-analysis-of-a-class-of-planar-piecewise-smooth-linear-quadratic-system}
}