Structure-preserving algorithms for autonomous Birkhoffian systems

• 作 者: KONG Xin-lei WU Hui-bin MEI Feng-xiang
• 机 构: School of Science, Beijing Institute of Technology, Beijing 100081,China;School of Aerospace Enginee
• 出 处: 北京理工大学学报（英文版）
• 发表日期: 2012年1期
• 关键词: Birkhoffian system discrete Birkhoffian equations structure-preserving algorithm

The Pfaff-Birkhoff variational principle is discretized,and based on the discrete variational principle the discrete Birkhoffian equations are obtained.Taking the discrete equations as an algorithm,the corresponding discrete flow is proved to be symplectic.That means the algorithm preserves the symplectic structure of Birkhoffian systems.Finally,simulation results of the given example indicate that structure-preserving algorithms have great advantage in stability and energy conserving.