Construction of Lyapunov Function for Dissipative Gyroscopic System

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2011,（5）
• 页码范围: 1-3
• 页数: 3页
• 语种: 英文
• DOI: 10.1088/0256-307X/28/5/050201

摘要

We introduce a force decomposition to construct a potential function in deterministic dynamics described by ordinary differential equations in the context of dissipative gyroscopic systems.Such a potential function serves as the corresponding Lyapunov function for the dynamics,hence it gives both quantitative and qualitative descriptions for stability of motion.As an example we apply our force decomposition to a four-dimensional dissipative gyroscopic system.We explicitly obtain the potential function for all parameter regimes in the linear limit,including those regimes where the Lyapunov function was previously believed not to exist.