Rundle模式地震的分叉结构及其爆发判据

THE BIFURCATION STRUCTURE OF RUNDLE MODE EARTHQUAKE AND ITS EXPLOSION CRITERIA

摘要:

给出了Rundle模式地震所满足的非线性微分方程.经过变换该方程变成标准Weierstras方程.依据我们发现的、并被国际上确认的Weierstras函数分叉结构理论,分析了该模式地震的三相结构及相变判据,并给出了强、弱地震自动爆发判据和弱小地震的准周期公式.本文结果对于地震预报研究有应用或参考价值.

Abstract:

The nonlinear equation is derived for Rundle mode earthquake and is transformed into the standard Weierstrass equation.On the basis of the bifurcation theory of Weierstrass function we have found,which has been admitted internationally,three phases of the earthquake and the criteria for differentiating them are analysed.And the criteria for the strong earthquake explosion and the occurrence of weak ones are presented respectively.Expressions for the repetition period of weak earthquakes of Rundle mode are given in detail too.This paper is valuable to the earthquake prediction.