Torus Bifurcation Under Discretization

• 作 者: 邹永魁 黄明游
• 机 构: SchoolofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2002年2期
• 关键词: 微分方程 数值解法 参数化 动力系统 特征值 torus bifurcation symmetric scheme eigen-structure pres
• 基金项目: The NSFC (10071030) of China,,The Volkswagen Foundation of Germany,, The Project-sponsored by SRP for ROCS, SEM (2002).

Parameterized dynamical systems with a simple zero eigenvalue and a couple of purely imaginary eigenvalues are considered. It is proved that this type of eigen-structure leads to torns bifurcation under certain nondegenerate conditions. We show that the d