Fast–slow dynamical systems

快慢动力系统

• 批准号: RGPIN-2017-06619
• 负责人: DeSimoi, Jacopo
• 金额: $ 1.82万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635206
• 关键词: Fast; slow; dynamical; systems

It is commonplace in nature that complex systems behave according to the interaction of different elements, which evolve with different scales in space and time. For instance: in statistical mechanics one can easily separate the timescale of molecular interaction by the timescale of macroscopic interaction. In celestial mechanics, different type of motions evolve according to dramatically different timescales. In biology, the lifespan of a cell might be several order of magnitude smaller than the lifespan of the organism it constitutes; and, similarly, life or death of a single individual has little impact on the evolution of the species that that individual belongs to.

在自然界中，复杂系统根据不同元素的相互作用而表现，这些元素在空间和时间上以不同的尺度演化，这是很常见的。例如：在统计力学中，我们可以很容易地将分子相互作用的时间尺度与宏观相互作用的时间尺度分开。在天体力学中，不同类型的运动根据截然不同的时间尺度演化。在生物学中，细胞的寿命可能比它所构成的有机体的寿命小几个数量级；同样，单个个体的生或死对该个体所属物种的进化几乎没有影响。