Rundle 模式地震分叉结构理论纲要

The Elementary Theory for the Bifurcation Structure of Rundle Mode Earthquake

给出了Ｒｕｎｄｌｅ模式地震活动所满足的非线性微分方程，并将它转换为标准的Ｗｅｉｅｒｓｔｒａｓ方程。根据笔者创立的、并在等离子体物理中业已成功应用的Ｗｅｉｅｒｓｔｒａｓ函数分叉理论，分析了该模式地震的三相结构和相判据，地震爆发的周期和强地震需满足的判据。

The non linear differential equation is derived for Rundle mode earthquake and transformed into the standard Weierstrass equation. On the basis of the bifurcation theory of Weierstrass function founded by the authors, which has been successfully applied in plasma physics, this paper analyses the three phases of the earthquake and the criteria for differentiating them. The expressions for the repetition period of Rundle mode earthquake and the criterion for strong earthquakes are also given.