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    • Symplectic integration of nonlinear Hamiltonian systems

      Govindan Rangarajan

      Mathematical Aspects Of Dynamical Systems Volume 48 Issue 1 January 1997 pp 129-142

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      https://www.ias.ac.in/article/fulltext/pram/048/01/0129-0142

    • Keywords

       

      Symplectic integration; hamiltonian systems

    • Abstract

       

      There exist several standard numerical methods for integrating ordinary differential equations. However, if one is interested in integration of Hamiltonian systems, these methods can lead to wrong results. This is due to the fact that these methods do not explicitly preserve the so-called ‘symplectic condition’ (that needs to be satisfied for Hamiltonian systems) at every integration step. In this paper, we look at various methods for integration that preserve the symplectic condition.

    • Author Affiliations

       

      Govindan Rangarajan1

      1. Department of Mathematics and Centre for Theoretical Studies, Indian Institute of Science, Bangalore - 560 012, India

    • Dates

       
      Published
      January 1997

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