ON STABILITY BOUNDARY OF LINEAR MULTI-PARAMETER HAMILTONIAN SYSTEMS

• 来源期刊: 力学学报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（6）
• 页码范围: 661-670
• 页数: 10页
• 分类号: O3
• 语种: 英文

摘要

In this paper an approximate equation is derived to describe smoothparts of the stability boundary for linear Hamiltonian systems, depending on arbitrarynumber of parameters. With this equation, we can obtain parameters correspondingto the stability boundary, as well as to the stability and instability domains, pro-vided that one point on the stability boundary is known. Then differential equationsdescribing the evolution of eigenvalues and eigenvectors along a curve on the sta-bility boundary surface are derived. These equations also allow us to obtain curvesbelonging to the stability boundary. Applications to linear gyroscopic systems areconsidered and studied with examples.