Skew-gradient representations of constrained mechanical systems

doi:10.1007/s10483-015-1954-9

Abstract

Abstract: The characteristics of stationary and non-stationary skew-gradient systems are studied. The skew-gradient representations of holonomic systems, Birkhoffian systems, generalized Birkhoffian systems, and generalized Hamiltonian systems are given. The characteristics of skew-gradient systems are used to study integration and stability of the solution of constrained mechanical systems. Examples are given to illustrate applications of the result.

Key words: skew-gradient system, constrained mechanical system, integration, stability

2010 MSC Number:

O316

Fengxiang MEI, Jinchao CUI. Skew-gradient representations of constrained mechanical systems. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 873-882.

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