Poincaré-Cartan integral invariant of a nonholonomic constrained generalized mechanical system | Zendy

Aimin Li | Zendy; Ying Zhang | Zendy; Ziping Li | Zendy

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Poincaré-Cartan integral invariant of a nonholonomic constrained generalized mechanical system

Author(s) -

Aimin Li,

Ying Zhang,

Ziping Li

Publication year - 2004

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.53.2816

Subject(s) - nonholonomic system , invariant (physics) , poincaré conjecture , mathematics , mathematical analysis , mathematical physics , computer science , robot , artificial intelligence , mobile robot

Based on generalized Apell-Четаев constrained conditions and taking into a ccount the inherent higher-order nonholonomic constraints,the generalized Poincaré-Cartan integral invariant for a generalized mechanical system with higher- order subsidiary nonholonomic constraints is formulated. We can show that the ex istence of Poincaré-Cartan integral invariant for such a system is equivalent to the generalized canonical equation of a nonholonomic constrained generalized mechanical system.

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