Instabilities in nearly integrable Hamiltonian systems

近可积哈密顿系统的不稳定性

• 批准号: 436169-2013
• 负责人: Zhang, Ke
• 金额: $ 1.75万
• 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: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=596871
• 关键词: Instabilities; nearly; integrable; Hamiltonian; systems

A good example of nearly integrable systems is the solar system. Indeed, the stability of the solar system has been a motivating question that drives the field. Since Poincaré's proof that the planar three body question is not integrable, the answer to the stability question has gone through several reversals.

太阳系是几乎可积系统的一个很好的例子。事实上，太阳系的稳定性一直是驱动磁场的一个激励问题。自从庞加莱证明平面三体问题不可积以来，稳定性问题的答案经历了几次逆转。