THE E^(1)_(3) TYPE OF CUBIC SYSTEMS WITH TWO INTEGRAL STRAIGHT LINES

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摘要 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. 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.

作者陈国维

机构地区福州大学

出处《Annals of Differential Equations》 1998年第1期13-23,共11页 微分方程年刊（英文版）

关键词 E 1 3 type of cubic systems integral straight line limit cycle E 1 3 type of cubic systems, integral straight line,limit cycle

分类号 O172.2 [理学—基础数学]

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Annals of Differential Equations

1998年第1期

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THE E^(1)_(3) TYPE OF CUBIC SYSTEMS WITH TWO INTEGRAL STRAIGHT LINES

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