...学报（自然科学版、英文版） 关键字: 三次多项式系统;奇点量;无穷远点;极限环分支[gap=908]Key words: cubic polynomial system; singular point value; infinity; bifurcation of limit cycles..
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讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。
This paper discuss the locally topological structure of higher order singular point for the plane cubic system in the first critical case and give a criterion by the coefficients of polynomials.
讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。
The locally topological structure of higher order singular point for the plane quartic system in the first critical case is discussed, and a criteria by the coefficients of polynomials is given.
以梯形和三次多项式轨迹为例，进行了系统功能测试，测试结果表明了所述控制系统的可行性和有效性。
The system function tests are carried on with examples of Trapezoidal and cubic polynomial trajectory. The test results show that the control system described has feasibility and effectiveness.
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