Open AccessIntegrating factors and conservation laws for non-holonomic dynamical systems
Author(s) -
Yi Zhang,
Ge Wei-Kuan
Publication year - 2003
Publication title -
wuli xuebao
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.