| 一类动力系统dy/dx=x_1/P_3(x,y)的全局结构 |
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| 引用本文： | 雷英果.一类动力系统dy/dx=x_1/P_3(x,y)的全局结构[J].福州大学学报(自然科学版),1985(1):24-39. |
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| 作者姓名： | 雷英果 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 本文考察了以抛物线ｙ＝ａｘ２＋β为特解的一类三次系统的全局结构。首先得出其等价系统，然后通过对其奇点的分析及应用Ｄｕｌａｃ—函数证明了这一系统在全平面上无极限环。
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| 关 键 词： | GLOBAL STRUCTURE DYNAMICAL SYSTEM LIMIT CYCLE |
GLOBAL STRUCTURE OF A CLASS OF DYNAMICAL SYSTEM DY/DX=X_1/P_3(X,Y) |
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| Lei Yingguo.GLOBAL STRUCTURE OF A CLASS OF DYNAMICAL SYSTEM DY/DX=X_1/P_3(X,Y)[J].Journal of Fuzhou University(Natural Science Edition),1985(1):24-39. |
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| Authors: | Lei Yingguo |
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| Institution: | The Department of Mathematics |
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| Abstract: | In this paper the global structures of a class of dynamical system of third order having parabolic solution are discussed. First, its equivalent system is obtained. By means of analysis all of its possible singular points and Dulac- function, prove that there is no limit cycle for this system. |
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| Keywords: | GLOBAL STRUCTURE DYNAMICAL SYSTEM LIMIT CYCLE |
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