"catastrophe theory"的定义和意义

Catastrophe theory

名词

灾变理论, 突变理论

a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances

Example

Catastrophe theory, introduced by French mathematician René Thom in the 1960s, is a branch of mathematics that studies sudden changes in the behavior of systems as a result of small changes in inputs or parameters.

灾变理论是由法国数学家雷内·托姆在20世纪60年代提出的一个数学分支，研究由于输入或参数的微小变化而导致系统行为的突然变化。

Catastrophe theory models complex systems using mathematical structures called catastrophe manifolds, which describe the possible states of the system and the transitions between them.

灾变理论模型利用称为灾变流形的数学结构来描述复杂系统，这些流形描述了系统的可能状态及其之间的转变。