Bifurcation theory of differential equations with symmetry

对称性微分方程的分岔理论

• 批准号: 216932-2010
• 负责人: Buono, PietroLuciano
• 金额: $ 0.87万
• 依托单位: University of Ontario Institute of Technology
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=508486
• 关键词: Bifurcation; theory; differential; equations; symmetry

Differential equation models are at the foundation of many theoretical advances in all the sciences. Differential equations describe the rate of change of the observed quantities and solutions form a dynamical system. Symmetry is observed in many natural phenomena; it is one of the main unifying ideas in science. Symmetry can be coded in differential equation models and predictions based on these models have shown their validity and usefulness over the years.

微分方程模型是所有科学中许多理论进步的基础。微分方程描述了观测量的变化率，其解形成了一个动力系统。对称性存在于许多自然现象中，它是科学中主要的统一思想之一。对称性可以在微分方程模型中进行编码，多年来，基于这些模型的预测已经显示出其有效性和实用性。