7 citations · 8 across the 2 of their papers we have counts for
5 papers
Characterization of the critical points for the free energy of a Cosserat problem
Petre Birtea, Ioan Casu, Dan Comanescu
Using the embedded gradient vector field method we explicitly compute the list of critical points of the free energy for a Cosserat body model. We also formulate necessary and suff…
Optimization on the symplectic group
Petre Birtea, Ioan Casu, Dan Comanescu
We regard the real symplectic group as a constraint submanifold of the real matrices endowed with the Euclidean (Fr…
Second order optimality on orthogonal Stiefel manifolds
Petre Birtea, Ioan Casu, Dan Comanescu
The main tool to study a second order optimality problem is the Hessian operator associated to the cost function that defines the optimization problem. By regarding an orthogonal S…
The stability problem and special solutions for the 5-components Maxwell-Bloch equations
Petre Birtea, Ioan Casu
For the 5-components Maxwell-Bloch system the stability problem for the isolated equilibria is completely solved. Using the geometry of the symplectic leaves, a detailed constructi…
On the stability problem and a bifurcation phenomenon for a special class of equilibria of the free rigid body on
Ioan Casu
The stability of a special class of equilibria for the free rigid body on is discussed. An instability region and two stability regions are established. The list…