| 一种求解嵌入在混沌吸引子中不稳定周期轨道的新方法 |
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| 引用本文： | 靳伍银,徐健学,洪灵,吴莹,雒志学.一种求解嵌入在混沌吸引子中不稳定周期轨道的新方法[J].兰州大学学报(自然科学版),2004,40(4):24-27. |
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| 作者姓名： | 靳伍银 徐健学 洪灵 吴莹 雒志学 |
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| 作者单位： | 1. 西安交通大学,非线性动力学研究所,陕西,西安,710049
2. 西安交通大学,数学系,陕西,西安,710049 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(30030040 and 10172067) |
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| 摘 要： | 基于首次返回映射和矢量封闭原理,提出了一种求解嵌入在混沌吸引子中不稳定周期轨道的方法.结果表明,该方法可以求解任意维混沌系统的周期1到无穷大的不稳定周期轨道.
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| 关 键 词： | 不稳定周期轨道 混沌 混沌吸引子 |
A method to extract unstable periodic orbits in chaotic attractors |
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| Abstract.A method to extract unstable periodic orbits in chaotic attractors[J].Journal of Lanzhou University(Natural Science),2004,40(4):24-27. |
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| Authors: | Abstract |
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| Abstract: | Based on the return map and the principle of closed vectors, a new method is proposed for extracting unstable periodic orbits embedded in chaotic attractors. The numerical results suggest that this method is valid for unstable periodic orbits from period one to period infinite of the arbitrary dimension chaotic system. |
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| Keywords: | unstable period orbit chaos chaotic attractor |
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