In this paper, the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line. We give a new form of Abelian integrals for piecewise smooth systems which is simpler than before. In application, for piecewise quadratic system the existence of 10 limit cycles and 12 small-amplitude limit cycles is proved respectively.
机构:
Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R ChinaGuangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
Li, Shimin
Cen, Xiuli
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaGuangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
Cen, Xiuli
Zhao, Yulin
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机构:
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaGuangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
机构:
Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Si, Zheng
Zhao, Liqin
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Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
机构:
Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
Cen, Xiuli
Liu, Changjian
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Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
Liu, Changjian
Yang, Lijun
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
Yang, Lijun
Zhang, Meirong
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China