Article ID Journal Published Year Pages File Type
4616808 Journal of Mathematical Analysis and Applications 2013 14 Pages PDF
Abstract
Also, we use the Energy-Casimir method to obtain sufficient conditions of stability of equilibria in complex problems of gyrostat dynamics. By means of this method and spectral stability analysis we have obtained necessary and sufficient conditions of stability for equilibria for any potential with axial symmetry U(k3) and a Newtonian potential U(3).The advantages of the Energy-Casimir method, in opposition with the classical Lyapunov-Chetaev method in stability problems of gyrostat dynamics is clear and we illustrate it with several interesting examples.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,