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Volume 52 Issue 4
Aug.  2020
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Chen Ju, Guo Yongxin, Liu Shixing, Mei Fengxiang. DYNAMICAL CONTROL OF STABILITY FOR BIRKHOFFIAN SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 928-931. DOI: 10.6052/0459-1879-19-367
Citation: Chen Ju, Guo Yongxin, Liu Shixing, Mei Fengxiang. DYNAMICAL CONTROL OF STABILITY FOR BIRKHOFFIAN SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 928-931. DOI: 10.6052/0459-1879-19-367
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DYNAMICAL CONTROL OF STABILITY FOR BIRKHOFFIAN SYSTEM

  • *School of Aerospace,Beijing Institute of Technology,Beijing 100081,China

  • †School of Physics,Liaoning University,Shenyang 110000,China

  • Received Date: December 22, 2019
    Graphical Abstract
    • Abstract
  • A dynamical control of the stability of equilibrium for the Birkhoffian system and generalized Birkhoffian system are studied. First, the equilibrium of motion and the equations of equilibrium of the systems are established. Secondly, the dynamical control of the stability of equilibrium for the Birkhoffian system where the Birkhoffian contain control parameters is investigated. The control parameters are chosen such that the Birkhoffian B becomes a definite function and its derivative of time ˙B is opposite sign. Thirdly, the dynamical control of the stability of equilibrium for Birkhoffian system where control parameters are contained in the Birkhoffian or in the additional terms is explored. Finally, some examples are given to illustrate the application of the results.
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    • References (1)
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