| 具有三次曲线解的中心对称三次系统的极限环的存在性问题 |
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| 引用本文： | 沈伯骞.具有三次曲线解的中心对称三次系统的极限环的存在性问题[J].系统科学与数学,1998,18(3):309-314. |
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| 作者姓名： | 沈伯骞 |
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| 作者单位： | 辽宁师范大学数学系!大连，116022 |
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| 摘 要： | 本文证明了具有三次曲线解y＝αx3的中心对称三次系统可以存在极限环，从而纠正了文1]认为具有三次曲线解的中心对称三次系统不可能存在极限环的错误结论
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| 关 键 词： | 三次曲线解 中心对称三次系统 极限环 |
THE PROBLEM OF EXISTENCE OF LIMIT CYCLES FOR THE CENTRAL SYMMETRIC CUBIC SYSTEM WITH CUBIC CURVE SOLUTION |
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| Shen Boqian.THE PROBLEM OF EXISTENCE OF LIMIT CYCLES FOR THE CENTRAL SYMMETRIC CUBIC SYSTEM WITH CUBIC CURVE SOLUTION[J].Journal of Systems Science and Mathematical Sciences,1998,18(3):309-314. |
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| Authors: | Shen Boqian |
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| Institution: | (Department of Mathematics, Liaoning Normal University, Dalian 116022) |
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| Abstract: | In this paper, we prove the existence of limit cycles for the central symmetric cubic system with a cubic curve solution y = box', then correct the mistaken conclusion in the article 1], which considers that the central symmetric cubic system has not any limit cycles. |
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| Keywords: | Cubic curve solution central symmetric cubic system limit cycle |
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