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KONG Xin-lei, WU Hui-bin, MEI Feng-xiang. Structure-preserving algorithms for autonomous Birkhoffian systems[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2012, 21(1): 1-7.
Citation: KONG Xin-lei, WU Hui-bin, MEI Feng-xiang. Structure-preserving algorithms for autonomous Birkhoffian systems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2012, 21(1): 1-7.
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Structure-preserving algorithms for autonomous Birkhoffian systems

  • 1.

    School of Science, Beijing Institute of Technology, Beijing 100081, China

  • 2.

    School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2011-03-03
    Abstract
  • 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.
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    • References (20)
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