Solving the problems of nonlinear dynamics based on Hamiltonian system
  
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DOI:10.7511/jslx20002025
KeyWord:nonlinear vibration,precise integration,Hamiltonian system,limit cycle
QIU Chun\|hang  LU He\|xiang  CAI Zhi\|qin
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Abstract:
      The second nonlinear system to be solved derived to the Hamitonian formulation dv/dt=Hv f(v,t), in which v is an unknown 2n\|dimensional vector, H is a coefficient matrix, and f(v,t) is its nonlinear part. Based on 2\ N type algorithm [3] , a precise time integration method with remarkable accuracy for solving such a nonlinear system is presented in this paper. The algorithm was proved highly effective for a series of numerical examples.