On equilibrium instability for conservative and partially dissipative systems
(1976) International Journal of Non-Linear Mechanics — Vol. 11, n° 5, p. 295-301 (1976)
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- Abstract
- The investigation brings some contributions to the classical problem of inverting the Lagrange-Dirichlet stability theorem. First, an example is given of a conservative holonomic mechanical system with a stable equilibrium at the origin, although the potential function is strictly negative along some rays issuing from the origin. Then, one establishes a new instability result in the conservative case. Last, by means of a vector auxiliary function, one proves an instability theorem for holonomic systems with partial dissipation.
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Laloy, M. (1976). On equilibrium instability for conservative and partially dissipative systems. International Journal of Non-Linear Mechanics, 11(5), 295-301. https://doi.org/10.1016/0020-7462(76)90015-9 (Original work published 1976)