| 摘要: |
| 考虑两种损耗特性的耦合电机模型，可由一个三维非线性自治方程组表示，该模型最近由郝建红等提出，其展示了非常复杂的动力学行为.从动力系统的可积性角度研究了该系统的可积性，用解线性偏微分方程的特征曲线法，求出了系统具有不变代数曲面的所有参数条件. |
| 关键词: 变形耦合发电系统 不变代数曲面 可积性 |
| DOI：10.3969/J.ISSN.1000-5137.2019.03.001 |
| 分类号:O1-0 |
| 基金项目: |
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| Invariant algebraic surfaces of a modified coupled dynamos model |
|
WU Jiankun, XIE Feng
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College of Science, Donghua University, Shanghai 201620, China
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| Abstract: |
| A coupled dynamos model considering two loss characteristics can be described as a threedimensional nonlinear autonomous system proposed recently by HAO et al, which exhibits very complicated dynamics. In this paper, invariant algebraic surfaces of this system are investigated from the view of integrability. Using the method of characteristic curves for solving linear partial differential equations, we obtain the parameter conditions when the system has invariant algebraic surfaces. |
| Key words: modified coupled dynamos model invariant algebraic surface integrability |
