ISSN 1002-1027  CN 11-2952/G2

Acta scientiarum naturalium Universitatis Pekinensis

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A Condition of Transforming General Dynamical Systems into Linear Birkhoffian Dynamical Systems

ZHANG Xingwu, HUANG Kefu, LIU Kaixin   

  1. Department of Mechanics and Engineering Science, Peking University, Beijing, 100871
  • Received:2002-05-25 Online:2003-05-20 Published:2003-05-20

Abstract: A condition of transforming general linear dynamical systems into linear Birkhoffian dynamical systems is studied. The condition and the procedure of transformation is given and proved. A theorem of the equivalence between linear Birkhoffian systems and linear Hamiltonian systems is given. According to the condition given by using the Jordan form, the non-degenerate condition of the Birkhoff tensor is analyzed from several aspects.