This article is cited in 2 scientific papers (total in 2 papers)
Lagrange's identity and its generalizations
V. V. Kozlov
Steklov Mathematical Institute, Russian Academy of Sciences
The famous Lagrange identity expresses the second derivative of the moment of inertia of a system of material points through the kinetic energy and homogeneous potential energy. The paper presents various extensions of this brilliant result to the case 1) of constrained mechanical systems, 2) when the potential energy is quasi-homogeneous in coordinates and 3) of continuum of interacting particles governed by the well-known Vlasov kinetic equation.
Lagrange's identity, quasi-homogeneous function, dilations, Vlasov's equation.
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MSC: 37A60, 82B30, 82CXX
V. V. Kozlov, “Lagrange's identity and its generalizations”, Nelin. Dinam., 4:2 (2008), 157–168
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\paper Lagrange's identity and its generalizations
\jour Nelin. Dinam.
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This publication is cited in the following articles:
V. V. Kozlov, “The generalized Vlasov kinetic equation”, Russian Math. Surveys, 63:4 (2008), 691–726
Gidea M., Niculescu C.P., “A Brief Account on Lagrange's Algebraic Identity”, Math. Intell., 34:3 (2012), 55–61
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