| 关于Guzowska-Luís-Elaydi模型的分岔 |
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| 引用本文： | 钟吉玉.关于Guzowska-Luís-Elaydi模型的分岔[J].数学杂志,2016,36(3):465-473. |
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| 作者姓名： | 钟吉玉 |
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| 作者单位： | 岭南师范学院数学与计算科学学院, 广东 湛江 524048 |
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| 基金项目： | Supported by the Natural Science Foundation of Zhanjiang Normal University (L1104) and the National Natural Sciences Foundation of China Grants (11371314). |
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| 摘 要： | 本文考虑了一个离散的Logistic竞争模型.为了讨论分岔,给出了不动点的拓扑类型及非双曲的情况.应用中心流行约化定理,证明了跨临界分岔会在三个不动点上发生.本文还证明了在两个不动点处,跳跃分岔会发生,同时稳定的周期2轨会出现.
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| 关 键 词： | Logistic竞争模型 跨临界分岔 跳跃分岔 周期2轨 中心流行 |
| 收稿时间： | 2014/5/5 0:00:00 |
| 修稿时间： | 2014/9/18 0:00:00 |
BIFURCATIONS OF GUZOWSKA-LUÍS-ELAYDI MODEL |
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| ZHONG Ji-yu.BIFURCATIONS OF GUZOWSKA-LUÍS-ELAYDI MODEL[J].Journal of Mathematics,2016,36(3):465-473. |
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| Authors: | ZHONG Ji-yu |
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| Institution: | School of Math. and Comput. Science, Lingnan Normal University, Zhanjiang 524048, China |
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| Abstract: | In this paper, we consider a discrete time logistic competition model. The topological types of flxed points and non-hyperbolic cases are given in order to investigate bifurcations. By applying the center manifold reduction theorem we prove that transcritical bifurcation occurs at three flxed points and stable 2-periodic orbits arise through flip bifurcation which happens at two flxed points. |
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| Keywords: | logistic competition model transcitical bifurcation flip bifurcation 2-periodic orbit center manifold |
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