一类超混沌的Faraday圆盘发电机的Zero-Zero-Hopf分支
Zero-Zero-Hopf Bifurcation of a Hyperchaotic Faraday Disk Dynamo
摘要: 本文主要研究了一类四维的self-exciting Faraday圆盘发电机，它描述了azimuthal eddy流的作用。首先通过计算Lyapunov指数，发现该系统是一个超混沌的系统。然后研究了系统的zero-zero-Hopf分支。利用平均理论，获得了在zero-zero-Hopf分支点存在两个周期解的充分条件，并进一步讨论了周期解的稳定性。
Abstract: The paper investigates the bifurcation of periodic solutions at the zero-zero-Hopf equilibrium of a hyperchaotic Faraday disk dynamo. By means of the averaging theory, the paper obtains the suffi-cient conditions that two periodic solutions will appear at the bifurcation point and discusses the stability of the two orbits.
文章引用：余环宇. 一类超混沌的Faraday圆盘发电机的Zero-Zero-Hopf分支[J]. 理论数学, 2020, 10(5): 518-523. https://doi.org/10.12677/PM.2020.105063

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