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On Nonexistence of Algebraic Curve Solutions to Second-order Polynomial Autonomous Systems Over the Complex Field

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Abstract

In this paper, by using the method of algebraic analysis, the results in our previous work are generalized. These results are of importance in the qualitative theory of polynomial autonomous systems.

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Correspondence to Zhao-sheng Feng.

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Partly supported by the National Natural Science Foundation of China (No. 69964003).

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Feng, Zs. On Nonexistence of Algebraic Curve Solutions to Second-order Polynomial Autonomous Systems Over the Complex Field. Acta Mathematicae Applicatae Sinica, English Series 18, 657–662 (2002). https://doi.org/10.1007/s102550200068

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  • DOI: https://doi.org/10.1007/s102550200068

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