Bifurcation of the critical crossing cycle in a planar piecewise smooth system with two zones

نویسندگان

چکیده

<p style='text-indent:20px;'>In this paper, we consider the nonsmooth bifurcation around a class of critical crossing cycles, which are codimension-2 closed orbits composed tangency singularities and regular orbits, for two-parameter family planar piecewise smooth system with two zones. By construction suitable displacement function (equivalently, Poincar<inline-formula><tex-math id="M1">\begin{document}$ {\rm\acute{e}} $\end{document}</tex-math></inline-formula> map), stability existence periodic solutions under variation parameters inside characterized. More precisely, obtain some parameter regions on cycles sliding near those loops. As applications, several examples given to illustrate our main conclusions.</p>

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B

سال: 2022

ISSN: ['1531-3492', '1553-524X']

DOI: https://doi.org/10.3934/dcdsb.2021264