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Mathematical Physics

arXiv:1411.4388 (math-ph)
[Submitted on 17 Nov 2014]

Title:A note on stability of nongeneric equilibria for an underwater vehicle

Authors:Petre Birtea, Dan Comanescu
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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 o 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.
Subjects: Mathematical Physics (math-ph)
MSC classes: 53Bxx, 58A05, 34K20, 70Exx, 70Hxx
Cite as: arXiv:1411.4388 [math-ph]
  (or arXiv:1411.4388v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1411.4388
Related DOI: https://doi.org/10.1016/j.geomphys.2017.03.007

Submission history

From: Dan Comanescu [view email]
[v1] Mon, 17 Nov 2014 08:24:39 UTC (8 KB)
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