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Volume 27 Issue 2
Feb.  2001
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Journal of Beijing University of Aeronautics and Astronautics  > 2001  >  27(2): 230-232.
JIN Li, WANG Qi, LU Qi-shaoet al. Numerical Algorithm for Calculating Lyapunov Exponents of Multibody Hamilton Systems with Topological Tree Configuration[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(2): 230-232. (in Chinese)
Citation: JIN Li, WANG Qi, LU Qi-shaoet al. Numerical Algorithm for Calculating Lyapunov Exponents of Multibody Hamilton Systems with Topological Tree Configuration[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(2): 230-232. (in Chinese)
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Numerical Algorithm for Calculating Lyapunov Exponents of Multibody Hamilton Systems with Topological Tree Configuration

  • Beijing University of Aeronautics and Astronautics, School of Science

  • Received Date: 16 Nov 1999
  • Publish Date: 28 Feb 2001
    Abstract
  • A numerical algorithm for calculating Lyapunov exponents of Hamiltonian multibody systems with topological tree configuration is studied. The algorithms for Lyapunov exponents of Hamiltonian multibody systems using the canonical equations of the system and symplectic algorithm for ordinary differential equations are presented, which are used to study the stability of the Hamiltonian multibody systems. An example is given to analyze the stability of a typical Hamiltonian multibody system, including periodic solution and chaos.

     

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  • [1] Kovacs A P, Ibrahim R A. Relationship between multibody dynamics computation and nonlinear vibration theory[J]. Nonlinear Dynamics, 1993, 4(3):634~653. [2] 王 琪,陆启韶,黄克累. 树形多体系统动力学的隐式数值方法[J]．力学学报,1996,28(6):717~725． [3] 王 琪,陆启韶,黄克累. 树形多体Hamilton系统辛算法[J]．计算物理,1997,14(1):35~39． [4] Thomas S Parker,　Leon O Chua. Practical numerical algorithms for chaotic systems[M]. New York:Springer-Verlag,1990． [5] 秦孟兆．辛几何及计算哈密顿力学[J]．力学与实践,1990,12(6):1~20． [6] Touati　D,　Cederbaum　G． Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates[J]． Acta Mechanica, 1995, 113:215~231．
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