Controllability of Poisson Systems. - Petre Birtea; Mircea Puta; Tudor S. Ratiu (SIAM J. Control. Optim., 2004)

Controllability problems in the charged top dynamics. - Petre Birtea; Mircea Puta; Razvan M. Tudoran; Constantin Voicu (Syst. Control. Lett., 2007)

Asymptoic Stability of Dissipated Hamilton-Poisson Systems. - Petre Birtea; Dan Comanescu (SIAM J. Appl. Dyn. Syst., 2009)

Stability of Equilibria for the $ mathfrak{so}(4)$ Free Rigid Body. - Petre Birtea; Ioan Casu; Tudor S. Ratiu; Murat Turhan (J. Nonlinear Sci., 2012)

The stability problem and special solutions for the 5-components Maxwell-Bloch equations. - Petre Birtea; Ioan Casu (Appl. Math. Lett., 2013)

Energy Methods in the stability Problem for the 픰픬(4) Free Rigid Body. - Petre Birtea; Ioan Casu (Int. J. Bifurc. Chaos, 2013)

Averaging on Manifolds by Embedding Algorithm. - Petre Birtea; Dan Comanescu; Calin-Adrian Popa (J. Math. Imaging Vis., 2014)

Hessian Operators on Constraint Manifolds. - Petre Birtea; Dan Comanescu (J. Nonlinear Sci., 2015)

A New Training Method for Feedforward Neural Networks Based on Geometric Contraction Property of Activation Functions. - Petre Birtea; Cosmin Cernazanu-Glavan; Alexandru Sisu (CoRR, 2016)

Newton Algorithm on Constraint Manifolds and the 5-Electron Thomson Problem. - Petre Birtea; Dan Comanescu (J. Optim. Theory Appl., 2017)

First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds. - Petre Birtea; Ioan Casu; Dan Comanescu (Optim. Lett., 2019)