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| 一类广义鸭轨迹系统轨线的构造 | |
| 引用本文： | 欧阳成,姚静荪,温朝晖,莫嘉琪. 一类广义鸭轨迹系统轨线的构造[J]. 物理学报, 2012, 61(3): 30202-030202 |
| 作者姓名： | 欧阳成 姚静荪 温朝晖 莫嘉琪 |
| 作者单位： | 1. 湖州师范学院理学院,湖州,313000 2. 安徽师范大学数学系,芜湖,241003 3. 安徽财经大学统计与应用数学学院应用数学研究所,蚌埠,233030 4. 湖州师范学院理学院,湖州313000 安徽师范大学数学系,芜湖241003 |
| 基金项目： | 国家自然科学基金(批准号: 40876010)、LASG国家重点实验室专项经费、 浙江省自然科学基金(批准号: Y6110502)和安徽高校省级自然科学研究项目(批准号: KJ2011A135, KJ2011Z003)资助的课题. |
| 摘 要： | 研究了一类广义鸭轨迹系统. 首先讨论了一类广义Lienard系统的解, 其次利用微分方程自治系统的定性理论构造了有头鸭轨迹, 并且列举了具体的构造鸭轨迹的例子. 利用本文的构造方法, 还可构造更广泛的鸭轨迹. |
| 关 键 词： | 鸭轨迹 轨线 自治系统 |
| 收稿时间： | 2011-05-03 |
| 修稿时间： | 2011-06-09 |
Constructing path curve for a class of generalized phase tracks of canard system |
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| Ouyang Cheng,Yao Jing Sun,Wen Zhao-Hui and Mo Jia-Qi. Constructing path curve for a class of generalized phase tracks of canard system[J]. Acta Physica Sinica, 2012, 61(3): 30202-030202 | |
| Authors: | Ouyang Cheng Yao Jing Sun Wen Zhao-Hui Mo Jia-Qi |
| Affiliation: | Faculty of Science, Huzhou Teacher College, Huzhou 313000, China;Department of Mathemtics, Anhui Normal University, Wuhu 241003, China;School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;Faculty of Science, Huzhou Teacher College, Huzhou 313000, China; Department of Mathemtics, Anhui Normal University, Wuhu 241003, China |
| Abstract: | A class of generalized phase tracks of canard system is obtained. Firstly, the solutions to the generalized Lienard system are considered. Then the possessed head canard solutions are constructed, and illustrated the examples to construct the canard. Using this same method, we may construct also more extensive canards. |
| Keywords: | phase tracks of canard path curve autonomous system |
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