求翻译：突变理论是综合利用拓扑学、奇点理论和结构稳定性等数学工具，研究动态系统在连续变化过程中的出现的不连续突然变化现象，是描述系统由一系列的量变引起跳跃式质变过程的数学理论是什么意思？

The catastrophe theory is a comprehensive utilization of topology, singularity theory and structural stability of mathematical tool to study dynamic systems in the continuous process of change for a sudden change in the phenomenon, is the description of the system caused by a series of quantitative

A combination Mutation Theory, topology, point, such as structural stability theory and mathematical tools to study dynamic systems in continuous process of change in the appearance of sudden change is not continuous, is describe the system by a series of quantitative-qualitative leap arising from t

The mutation theory is mathematical instruments and so on comprehensive utilization analysis situs, singular point theory and structural stability, the research dynamic system is changing in the process the appearance suddenly to change the phenomenon not continuously continuously, is describes the

Catastrophe theory is the combined application of topology, Singularity Theory and mathematical tools, such as structural stability, research system in the process of continuous change in the discontinuous sudden changes in behavior occurs, is to describe the systems consist of a series of quantitat

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