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。
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.
出处
《理论数学》
2020年第5期518-523,共6页
Pure Mathematics
