Integrating factors and conservation laws for non-holonomic dynamical systems

Zhang Yi; Ge Wei-Kuan

doi:10.7498/aps.52.2363

Abstract
In this paper, we present a general approach to the construction of conservation laws for nonlinear non-holonomic dynamical systems by finding corresponding int egrating factors. The definition of integrating factors for the Routh equations of non-holonomic systems is given, and the necessary conditions for the existenc e of conserved quantities of the non-holonomic dynamical systems are studied in detail. The conservation theorem and its inverse for the systems are established , and an example is given to illustrate the application of the results.

Keywords:
non-holonomic system /

integrating factor /

conservation theorem /

Kill ing equation
Authors and contacts
Zhang Yi²,

Ge Wei-Kuan¹

(1)湖州师范学院物理系,湖州 313000; (2)苏州科技学院土木工程系，苏州 215011
References

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Vol. 52, Issue 10 - 2003-05-20

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