Routh method of reduction of Birkhoffian systems

Zhang Yi

doi:10.7498/aps.57.5374

Abstract
Reduction of Birkhoffian systems is studied. First, the differential equations of motion for the Birkhoffian systems are established and their cyclic integrals are given. Second, the Routh functions of Birkhoffian systems are constructed, and the order of the systems is reduced by using the cyclic integrals and the Birkhoffian form made to hold. Finally, an example is given to illustrate the application of the results.

Keywords:
Birkhoffian system /

reduction /

cyclic integral
Authors and contacts
Zhang Yi

1.
苏州科技学院土木工程学院，苏州 215011
References

Cited By

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Vol. 57, Issue 9 - 2008-05-05

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Routh method of reduction of Birkhoffian systems

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