| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5500039 | Journal of Geometry and Physics | 2017 | 6 Pages |
Abstract
We study the Lyapunov stability of a family of nongeneric equilibria with spin for underwater vehicles with noncoincident centers. The nongeneric equilibria belong to singular symplectic leaves that are not characterized as a preimage to a regular value of the Casimir functions. We find an invariant submanifold such that the nongeneric equilibria belong to a preimage of a regular value that involves sub-Casimir functions. We obtain results for nonlinear stability on this invariant submanifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Petre Birtea, Dan ComÄnescu,