Vector Product and an Integrable Dynamical System

• 来源期刊: 理论物理通讯：英文版
• 学科: 数学
• 关键词: 动力系统 向量积 一阶常微分方程 自治系统 积分 力学
• 年，卷（期）: 2011,（12）
• 页码范围: 992-994
• 页数: 3页
• 分类号: O175.1|O182.2
• 语种: 英文

摘要

We study an autonomous system of first order ordinary differential equations based on the vector product. We show that the system is completely integrable by constructing the first integrals. The connection with Nambu mechanics is established. The extension to higher dimensions is also discussed.