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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. |
| 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 |
| DOI： |
| 分类号:O175.2 |
| 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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| BIFURCATIONS OF GUZOWSKA-LUÍS-ELAYDI MODEL |
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ZHONG Ji-yu
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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. |
| Key words: logistic competition model transcitical bifurcation flip bifurcation 2-periodic orbit center manifold |
