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Petre Birtea
Title
Cited by
Cited by
Year
Equivalence of energy methods in stability theory
P Birtea, M Puta
Journal of Mathematical Physics 48 (4), 2007
332007
Periodic orbits in the case of a zero eigenvalue
P Birtea, M Puta, RM Tudoran
Comptes Rendus Mathematique 344 (12), 779-784, 2007
322007
Asymptotic stability for a class of metriplectic systems
P Birtea, M Boleantu, M Puta, RM Tudoran
Journal of Mathematical Physics 48 (8), 2007
302007
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
222012
Geometrical dissipation for dynamical systems
P Birtea, D Comănescu
Communications in Mathematical Physics 316, 375-394, 2012
212012
Openness and convexity for momentum maps
P Birtea, JP Ortega, T Ratiu
Transactions of the American mathematical society 361 (2), 603-630, 2009
212009
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
181998
First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds
P Birtea, I Caşu, D Comănescu
Optimization Letters 13, 1773-1791, 2019
172019
Hessian operators on constraint manifolds
P Birtea, D Comănescu
Journal of Nonlinear Science 25, 1285-1305, 2015
152015
Optimization on the real symplectic group
P Birtea, I Caşu, D Comănescu
Monatshefte für Mathematik 191 (3), 465-485, 2020
122020
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
112017
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
112008
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
102002
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
92011
Asymptoic Stability of Dissipated Hamilton–Poisson Systems
P Birtea, D Comănescu
SIAM Journal on Applied Dynamical Systems 8 (3), 967-976, 2009
92009
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
92005
Controllability of Poisson systems
P Birtea, M Puta, TS Ratiu
SIAM journal on control and optimization 43 (3), 937-954, 2004
92004
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
82012
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
72013
Energy Methods in the Stability Problem for the 𝔰𝔬 (4) Free Rigid Body
P Birtea, I Caşu
International Journal of Bifurcation and Chaos 23 (02), 1350032, 2013
72013
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