| THE E_3~1 TYPE OF CUBIC SYSTEMS WITH TWO INTEGRAL STRAIGHT LINES |
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| 作者姓名： | 陈国维 |
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| 作者单位： | 福州大学 |
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| 摘 要： | １ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｐｒｏｂｌｅｍｏｆｌｉｍｉｔｃｙｃｌｅｆｏｒｔｈｅｓｙｓｔｅｍｄｘｄｔ＝Ｐ（ｘ，ｙ），ｄｙｄｔ＝Ｑ（ｘ，ｙ）（１．１）ｗｉｔｈｔｗｏｉｎｔｅｇｒａｌｓｔｒａｉｇｈｔｌｉｎｅｓｉｓｓｔｕｄｉｅｄｉｎｔｈｉｓｐａｐｅｒ，ｗ...
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THE E 1 3 TYPE OF CUBIC SYSTEMS WITH TWO INTEGRAL STRAIGHT LINES * |
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| Chen Guowei.THE E_3~1 TYPE OF CUBIC SYSTEMS WITH TWO INTEGRAL STRAIGHT LINES[J].微分方程年刊(英文版),1998(1). |
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| Authors: | Chen Guowei |
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| Affiliation: | Fuzhou University:350002 |
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| Abstract: | The existence and uniqueness of limit cycle for the E 1 3 type of cubic systems with two integral straight lines has been studied in this paper. It is found that the system has no limit cycle when the two integral straight lines intersect each other; it has a unique limit cycle when the two integral straight lines are paralleled. The sufficient and necessary conditions are also given to guarantee the existence of the unique limit cycle. |
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| Keywords: | E 1 3 type of cubic systems integral straight line limit cycle |
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