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.
Fengxiang MEI, Jinchao CUI
. Skew-gradient representations of constrained mechanical systems[J]. Applied Mathematics and Mechanics, 2015
, 36(7)
: 873
-882
.
DOI: 10.1007/s10483-015-1954-9
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