19 citations · 181 across the 33 of their papers we have counts for
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math-ph2014★ 2 cited
A note on stability of nongeneric equilibria for an underwater vehicle
Petre Birtea, Dan Comanescu
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 symp…
math.DG2014★ 12 cited
Hessian Operators on Constraint Manifolds
Petre Birtea, Dan Comănescu
On a constraint manifold we give an explicit formula for the Hessian matrix of a cost function that involves the Hessian matrix of a prolonged function and the Hessian matrices of…
math.DG2014
Double bracket structures on Poisson manifolds
Petre Birtea
On a Poisson manifold endowed with a Riemannian metric we will construct a vector field that generalizes the double bracket vector field defined on semi-simple Lie algebras. On a r…