Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
نویسندگان
چکیده
<p style='text-indent:20px;'>Denote by CH, CSH, CQH, and CSQH the planar cubic homogeneous, semi-homogeneous, quasi-homogeneous semi-quasi-homogeneous differential systems, respectively. The problems on limit cycles global dynamics of these systems have been solved for partially CSH. This paper studies same CQH CSQH. We prove that no can at most one cycle with realizable. Moreover, we classify all phase portraits CSQH.</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.2021049