| 摘要: |
| 建立了一类时变非线性微分系统与线性微分系统之间的等价关系,给出了一类二次微分系统具有有理分式形式的反射函数的充分条件.并应用所得结论研究了二次微分系统及时变Kolmogrov系统的周期解及其定性性态. |
| 关键词: 反射函数 周期解 时变系统 |
| DOI： |
| 分类号: |
| 基金项目: |
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| On the relationship between nonlinear and linear differential systems |
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ZHOU Zhengxin, MAO Fangfang, GUO Yingying, WANG Fei, CHEN Yayuan
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School of Mathematical Sciences, Yangzhou University
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| Abstract: |
| In this article, we establish the relationship between the quadratic time-varying differential systems and the linear systems, giving the sufficient conditions for the quadratic systems to have the reflecting function in the form of fractional function. We use the obtained results to discuss the qualitative behavior of the solutions of the quadratic differential systems and the time-varying Kolmogrov equations. |
| Key words: reflecting function periodic solution time-varying system |
