A METHOD PROVING THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM

A METHOD PROVING THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM

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摘要 We transform the quadratic system into the special system of Type (Ⅲ)a=0' and hence a string sufficient conditions are established to ensure that the considered system has at most one limit cycle. We transform the quadratic system into the special system of Type (Ⅲ)a=0' and hence a string sufficient conditions are established to ensure that the considered system has at most one limit cycle.

作者徐思林朱豫根

机构地区青岛大学

出处《Annals of Differential Equations》 1996年第2期226-228,共3页 微分方程年刊（英文版）

关键词 Quadratic system limit cycle uniqueness. Quadratic system, limit cycle, uniqueness.

分类号 O175 [理学—基础数学]

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1叶彦谦.A SPECIAL CUBIC SYSTEM CLOSE RELATED TOTHE GENERAL QUADRATIC SYSTEM[J].Annals of Differential Equations,1999,15(3):319-326.
2宋矞.UNIQUENESS AND DISTRIBUTION OF LIMIT CYCLES FOR BOUNDED QUADRATIC SYSTEM[J].Annals of Differential Equations,2001,17(4):352-362.
3ZHANG Xiang(Department of Mathematics, Nanjing Normal University, Nanjing 210024, China).DETERMINATION OF THE SIGN OF DIVERGENCE OF A QUADRATIC SYSTEM AT CRITICAL POINTS[J].Systems Science and Mathematical Sciences,1997,10(4):344-355.
4刘南根.DISTRIBUTION OF LIMIT CYCLES FOR A CLASS OF QUADRATIC SYSTEM[J].Chinese Science Bulletin,1982,27(8).
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Annals of Differential Equations

1996年第2期

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A METHOD PROVING THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM

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