混合扰动下闭轨道分支空间的周期解

Proceedings of the 2019 International Conference on Mathematics, Science and Technology Teaching and Learning - ICMSTTL 2019 Pub Date : 2019-06-28 DOI:10.1145/3348400.3348406

L. Deng, Ruiping Huang, Wenhui Hao, Qingzheng Xu

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引用次数: 0

摘要

结合中心流形定理与平面分支理论的方法，研究了一般三维系统在混合扰动下分支出空间周期解的充分条件，得到了一般三维系统从封闭轨道分支出周期解的两个定理，推广了已有平面系统的结果。

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Periodic Solutions of Branched Space from Closed Orbits under Mixed Perturbations

By combining the means of the center manifold theorem and Planar branching theory, this paper studies the sufficient conditions for general three-dimensional systems to branch out into spatial periodic solutions under mixed perturbations, and obtains two theorems for judging the periodic solutions of general three-dimensional systems branching out from closed orbits, which generalize the results of existing planar systems.

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Proceedings of the 2019 International Conference on Mathematics, Science and Technology Teaching and Learning - ICMSTTL 2019

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