| 具有两个二次代数曲线解的三次系统的极限环 |
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| 引用本文： | 张成. 具有两个二次代数曲线解的三次系统的极限环[J]. 辽宁师范大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 张成 |
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| 作者单位： | 辽宁师范大学数学系 |
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| 摘 要： | 证明了具有椭圆和抛物线解的三次系统可以存在代数极限环,从而纠正了文[1]所断言这种系统不存在极限环的错误结论.
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| 关 键 词： | 代数解 极限环 |
LIMIT CYCLE OF A CUBIC SYSTEM WITH TWO QUADRATIC ALGEBRAIC CURVE SOLUTIONS |
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| Zhang Cheng. LIMIT CYCLE OF A CUBIC SYSTEM WITH TWO QUADRATIC ALGEBRAIC CURVE SOLUTIONS[J]. Journal of Liaoning Normal University(Natural Science Edition), 1992, 0(2) |
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| Authors: | Zhang Cheng |
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| Abstract: | Prove that there may exist algebraic limit cycle in a cubic system with elliptic solution and parabolic solution. This conclusion corrects a mistaken result of ref. [1] in which the author asserts that above system has no limit cycle. |
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| Keywords: | algebraic solution limit cycle |
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