On Lyapunov stability of nonautonomous mechanical systems
A sufficient condition for the linear stability of nonautonomous dissipative mechanical systems with circulatory forces is derived. It is applied to autonomous systems transformed to nonautonomous ones by a time-dependent orthogonal transformation. This allows us to obtain sufficient stability conditions in case the perturbed potential energy can have negative values, which was not possible up to now. This is, in particular, of importance for plasma equilibria with sheared flows. The nearness of the sufficient condition to necessity is discussed for a particular example.
Bibliographic Reference: Article: Physics Letters A, Vol. 271 (2000) pp. 413-418
Availability: Physics Letters A (Journal)
Record Number: 200012376 / Last updated on: 2000-09-08
Original language: en
Available languages: en