@Article{AAM-36-282,
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 = {2021},
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/},
url = {http://global-sci.org/intro/article_detail/aam/18594.html}
}