Equivalence of energy methods in stability theory P Birtea, M Puta Journal of Mathematical Physics 48 (4), 2007 | 34 | 2007 |
Periodic orbits in the case of a zero eigenvalue P Birtea, M Puta, RM Tudoran Comptes Rendus Mathematique 344 (12), 779-784, 2007 | 33 | 2007 |
Asymptotic stability for a class of metriplectic systems P Birtea, M Boleantu, M Puta, RM Tudoran Journal of Mathematical Physics 48 (8), 2007 | 31 | 2007 |
Stability of equilibria for the free rigid body P Birtea, I Caşu, TS Ratiu, M Turhan Journal of nonlinear science 22 (2), 187-212, 2012 | 22 | 2012 |
Geometrical dissipation for dynamical systems P Birtea, D Comănescu Communications in Mathematical Physics 316, 375-394, 2012 | 21 | 2012 |
Openness and convexity for momentum maps P Birtea, JP Ortega, T Ratiu Transactions of the American mathematical society 361 (2), 603-630, 2009 | 21 | 2009 |
First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds P Birtea, I Caşu, D Comănescu Optimization Letters 13, 1773-1791, 2019 | 18 | 2019 |
Control, integrability and stability in some concrete mechanical problems on matrix Lie groups M Puta, P Birtea, C Lazureanu, C Pop, R Tudoran Quad. Sem. Top. Alg. e Diff., Univ di Roma La Sapienza, 1998 | 18 | 1998 |
Hessian operators on constraint manifolds P Birtea, D Comănescu Journal of Nonlinear Science 25, 1285-1305, 2015 | 15 | 2015 |
Optimization on the real symplectic group P Birtea, I Caşu, D Comănescu Monatshefte für Mathematik 191 (3), 465-485, 2020 | 12 | 2020 |
Newton algorithm on constraint manifolds and the 5-electron Thomson problem P Birtea, D Comănescu Journal of Optimization Theory and Applications 173 (2), 563-583, 2017 | 11 | 2017 |
A local-to-global principle for convexity in metric spaces P Birtea, JP Ortega, TS Ratiu Journal of Lie Theory 18 (2), 445-469, 2008 | 11 | 2008 |
A short proof of chaos in an atmospheric system P Birtea, M Puta, TS Ratiu, R Tudoran Physics Letters A 300 (2-3), 189-191, 2002 | 10 | 2002 |
Hamilton–Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque P Birtea, I Caşu, D Comănescu Physics Letters A 375 (45), 3941-3945, 2011 | 9 | 2011 |
Asymptoic Stability of Dissipated Hamilton–Poisson Systems P Birtea, D Comănescu SIAM Journal on Applied Dynamical Systems 8 (3), 967-976, 2009 | 9 | 2009 |
Symmetry breaking for toral actions in simple mechanical systems P Birtea, M Puta, TS Ratiu, R Tudoran Journal of Differential Equations 216 (2), 282-323, 2005 | 9 | 2005 |
Controllability of Poisson systems P Birtea, M Puta, TS Ratiu SIAM journal on control and optimization 43 (3), 937-954, 2004 | 9 | 2004 |
Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems P Birtea, I Caşu, D Comănescu Physica D: Nonlinear Phenomena 241 (19), 1655-1659, 2012 | 8 | 2012 |
Stability, periodic solutions and numerical integration in the Kowalevski top dynamics A Aron, P Birtea, M Puta, P ŞUŞOI, R TUDORAN International Journal of Geometric Methods in Modern Physics 3 (07), 1323-1330, 2006 | 8 | 2006 |
The stability problem and special solutions for the 5-components Maxwell–Bloch equations P Birtea, I Caşu Applied Mathematics Letters 26 (8), 875-880, 2013 | 7 | 2013 |