%0 Journal Article
%T 一类超混沌的Faraday圆盘发电机的Zero-Zero-Hopf分支<br>Zero-Zero-Hopf Bifurcation of a Hyperchaotic Faraday Disk Dynamo
%A 余环宇
%J Pure Mathematics
%P 518-523
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.105063
%X <div style=\"text-align:justify;\">
	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。<br />
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.
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%K Faraday圆盘发电机，超混沌，Zero-Zero-Hopf分支，周期解，平均理论<br>Faraday Disk Dynamo
%K Hyperchaos
%K Zero-Zero-Hopf Bifurcation
%K Periodic Solution
%K Averaging Theory
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35660