Integrating factors and conservation laws for non-holonomic dynamical systems | Zendy

Yi Zhang | Zendy; Ge Wei-Kuan | Zendy

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Integrating factors and conservation laws for non-holonomic dynamical systems

Author(s) -

Yi Zhang,

Ge Wei-Kuan

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.2363

Subject(s) - conservation law , holonomic , computer science , classical mechanics , dynamical systems theory , statistical physics , physics , artificial intelligence , quantum mechanics

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.

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