Mechanical and neural oscillators with time delays

具有时间延迟的机械和神经振荡器

• 批准号: 171089-2007
• 负责人: Campbell, SueAnn
• 金额: $ 1.75万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=476295
• 关键词: Mechanical; neural; oscillators; time; delays

This project is motivated by some specific biological and mechanical systems: the pupil light reflex, brain neural networks and metal cutting. Although physically unrelated, the behaviour of these systems is influenced by the same factors: the presence of nonlinearities and time delays. The time delays represent the time it takes information to propagate from one part of the system to another. The nonlinearity represents the fact that in these systems a small change in the state can often result in a large change in behaviour. An oscillator is any object that performs a repetitive motion. A familiar example is the pendulum of a clock. This project considers several oscillators which fall into two themes, based on how they are modelled mathematically.

这个项目的动机是一些特定的生物和机械系统：瞳孔光反射，大脑神经网络和金属切割。尽管物理上不相关，但这些系统的行为受到相同因素的影响：非线性和时间延迟的存在。时间延迟表示信息从系统的一部分传播到另一部分所需的时间。非线性表示这样一个事实，即在这些系统中，状态的微小变化往往会导致行为的巨大变化。振荡器是任何进行重复运动的物体。一个熟悉的例子是钟的钟摆。这个项目考虑了几个振荡器，它们分为两个主题，基于它们如何数学建模。