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- W2048138368 abstract "It has been shown /1/ that if the potential energy of a mechanical system is an analytic function of the form V (q) = Vm (q) + Vm+1 (q) + … (m ⩾ 2) where Vt are polynomials of degree i, then the equilibrium position q = 0 is unstable for odd m. Instability has also been proved for even m /2/ on the assumption that q = 0 is not a local minimum point of Vm (q). In this paper, with suitable additional assumptions, using the procedure employed in /2/, we shall prove instability in some cases when m is even and Vm (q) is positive definite." @default.
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- W2048138368 date "1991-01-01" @default.
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- W2048138368 title "On inversion of the lagrange-dirichlet theorem" @default.
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- W2048138368 doi "https://doi.org/10.1016/0021-8928(91)90002-c" @default.
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