The catastrophe theory in the modern nonlinearly analysis was introduced to study the mechanism of mountain slope slip under paroxysmal instability and gradually evolutional failure.

• 摘要运用现代非线性分析中的突变论方法，研究了在降雨裂缝渗透影响下山体边坡可能发生突发性失稳滑坡和渐进演化性失稳滑坡的机理。