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Author ID: birtea.petre Recent zbMATH articles by "Birtea, Petre"
Published as: Birtea, Petre; Birtea, P.
External Links: ORCID
Documents Indexed: 41 Publications since 1996
Co-Authors: 16 Co-Authors with 40 Joint Publications
205 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 129 times in 90 Documents Cited by Year
Periodic orbits in the case of a zero eigenvalue. Zbl 1131.34034
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan Micu
13
2007
Asymptotic stability for a class of metriplectic systems. Zbl 1152.81343
Birtea, Petre; Boleantu, Mihai; Puta, Mircea; Tudoran, Razvan Micu
11
2007
Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005
Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat
11
2012
Geometrical dissipation for dynamical systems. Zbl 1300.37020
Birtea, Petre; Comănescu, Dan
9
2012
First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds. Zbl 1434.90193
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
7
2019
Equivalence of energy methods in stability theory. Zbl 1137.34338
Birtea, P.; Puta, M.
7
2007
Hessian operators on constraint manifolds. Zbl 1329.53025
Birtea, Petre; Comănescu, Dan
6
2015
Openness and convexity for momentum maps. Zbl 1163.53053
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
6
2009
Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems. Zbl 1387.70004
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
6
2012
Optimization on the real symplectic group. Zbl 1434.49026
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
5
2020
Newton algorithm on constraint manifolds and the 5-electron Thomson problem. Zbl 1370.49023
Birtea, Petre; Comănescu, Dan
5
2017
Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque. Zbl 1254.70017
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
5
2011
Asymptotic stability of dissipated Hamilton-Poisson systems. Zbl 1180.37025
Birtea, Petre; Comănescu, Dan
5
2009
The stability problem and special solutions for the 5-components Maxwell-Bloch equations. Zbl 1370.37110
Birtea, Petre; Caşu, Ioan
4
2013
Controllability of Poisson systems. Zbl 1101.93008
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.
3
2004
Averaging on manifolds by embedding algorithm. Zbl 1292.49044
Birtea, Petre; Comănescu, Dan; Popa, Călin-Adrian
3
2014
Invariant critical sets of conserved quantities. Zbl 1298.37076
Birtea, Petre; Comănescu, Dan
3
2011
A short proof of chaos in an atmospheric system. Zbl 0997.86007
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan
3
2002
A local-to-global principle for convexity in metric spaces. Zbl 1148.53030
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
3
2008
On Ishii’s equation. Zbl 1079.37053
Birtea, Petre; Puta, Mircea
2
2005
Stability, periodic solutions and numerical integration in the Kowalevski top dynamics. Zbl 1184.70003
Aron, Anania; Birtea, Petre; Puta, Mircea; Şuşoi, Paul; Tudoran, Răzvan
2
2006
Controllability problems in the charged top dynamics. Zbl 1118.93008
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan; Voicu, Constantin
2
2007
Some remarks on the dynamics of the underwater vehicle. Zbl 1126.37052
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan
2
2007
On the symmetry breaking phenomenon. Zbl 1095.70008
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan Micu
1
2006
Some remarks on the Clebsch’s system. Zbl 1106.70007
Birtea, Petre; Hogea, Cosmin; Puta, Mircea
1
2004
Symmetry breaking for toral actions in simple mechanical systems. Zbl 1222.70023
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan
1
2005
A note on stability of nongeneric equilibria for an underwater vehicle. Zbl 1473.70014
Birtea, Petre; Comănescu, Dan
1
2017
Non-Noether conservation laws. Zbl 1261.37022
Birtea, Petre; Tudoran, Răzvan M.
1
2012
The underwater vehicle dynamics with a fixed control authority. Zbl 1128.49033
Aron, Anania; Birtea, Petre; Dobre, Liliana; Puta, Mircea; Tudoran, Răzvan
1
2006
Optimization on the real symplectic group. Zbl 1434.49026
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
5
2020
First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds. Zbl 1434.90193
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
7
2019
Newton algorithm on constraint manifolds and the 5-electron Thomson problem. Zbl 1370.49023
Birtea, Petre; Comănescu, Dan
5
2017
A note on stability of nongeneric equilibria for an underwater vehicle. Zbl 1473.70014
Birtea, Petre; Comănescu, Dan
1
2017
Hessian operators on constraint manifolds. Zbl 1329.53025
Birtea, Petre; Comănescu, Dan
6
2015
Averaging on manifolds by embedding algorithm. Zbl 1292.49044
Birtea, Petre; Comănescu, Dan; Popa, Călin-Adrian
3
2014
The stability problem and special solutions for the 5-components Maxwell-Bloch equations. Zbl 1370.37110
Birtea, Petre; Caşu, Ioan
4
2013
Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005
Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat
11
2012
Geometrical dissipation for dynamical systems. Zbl 1300.37020
Birtea, Petre; Comănescu, Dan
9
2012
Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems. Zbl 1387.70004
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
6
2012
Non-Noether conservation laws. Zbl 1261.37022
Birtea, Petre; Tudoran, Răzvan M.
1
2012
Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque. Zbl 1254.70017
Birtea, Petre; Caşu, Ioan; Comănescu, Dan
5
2011
Invariant critical sets of conserved quantities. Zbl 1298.37076
Birtea, Petre; Comănescu, Dan
3
2011
Openness and convexity for momentum maps. Zbl 1163.53053
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
6
2009
Asymptotic stability of dissipated Hamilton-Poisson systems. Zbl 1180.37025
Birtea, Petre; Comănescu, Dan
5
2009
A local-to-global principle for convexity in metric spaces. Zbl 1148.53030
Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S.
3
2008
Periodic orbits in the case of a zero eigenvalue. Zbl 1131.34034
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan Micu
13
2007
Asymptotic stability for a class of metriplectic systems. Zbl 1152.81343
Birtea, Petre; Boleantu, Mihai; Puta, Mircea; Tudoran, Razvan Micu
11
2007
Equivalence of energy methods in stability theory. Zbl 1137.34338
Birtea, P.; Puta, M.
7
2007
Controllability problems in the charged top dynamics. Zbl 1118.93008
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan; Voicu, Constantin
2
2007
Some remarks on the dynamics of the underwater vehicle. Zbl 1126.37052
Birtea, Petre; Puta, Mircea; Tudoran, Răzvan
2
2007
Stability, periodic solutions and numerical integration in the Kowalevski top dynamics. Zbl 1184.70003
Aron, Anania; Birtea, Petre; Puta, Mircea; Şuşoi, Paul; Tudoran, Răzvan
2
2006
On the symmetry breaking phenomenon. Zbl 1095.70008
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan Micu
1
2006
The underwater vehicle dynamics with a fixed control authority. Zbl 1128.49033
Aron, Anania; Birtea, Petre; Dobre, Liliana; Puta, Mircea; Tudoran, Răzvan
1
2006
On Ishii’s equation. Zbl 1079.37053
Birtea, Petre; Puta, Mircea
2
2005
Symmetry breaking for toral actions in simple mechanical systems. Zbl 1222.70023
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan
1
2005
Controllability of Poisson systems. Zbl 1101.93008
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.
3
2004
Some remarks on the Clebsch’s system. Zbl 1106.70007
Birtea, Petre; Hogea, Cosmin; Puta, Mircea
1
2004
A short proof of chaos in an atmospheric system. Zbl 0997.86007
Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan
3
2002
all top 5

Cited by 94 Authors

14 Birtea, Petre
11 Comănescu, Dan
10 Caşu, Ioan
9 Lăzureanu, Cristian
6 Bulatović, Ranislav M.
5 Pop Arieşanu, Camelia
5 Tudoran, Răzvan Micu
4 Bînzar, Tudor
3 Absil, Pierre-Antoine
3 Borisov, Alekseĭ Vladimirovich
3 Gao, Bin
3 Llibre, Jaume
3 Puta, Mircea
3 Ratiu, Tudor Stefan
3 Son, Nguyen Thanh
3 Stykel, Tatjana
3 Tudoran, Ramona A.
2 Ene, Remus-Daniel
2 Ivan, Gheorghe
2 Ivan, Mihai
2 Jin, Pengzhan
2 Karshon, Yael
2 Mamaev, Ivan Sergeevich
2 Tarama, Daisuke
1 Adams, Ross M.
1 Amore, Paolo
1 Arnaudon, Alexis
1 Bai, Fang
1 Bălă, Dumitru
1 Bartoli, Adrien
1 Belgun, Florin Alexandru
1 Biggs, Rory
1 Bizyaev, Ivan Alekseevich
1 Buzzi, Claudio Aguinaldo
1 Chiang, River
1 Chis, Oana-Teodora
1 Cui, Hutao
1 Cui, Pingyuan
1 de Carvalho, Tiago
1 De Castro, Alex Lucio
1 de León Rodríguez, Manuel
1 Elmandouh, Adel A.
1 Esen, Oğul
1 García Guirao, Juan Luis
1 Geng, Zhiyong
1 Ghose Choudhury, Anindya
1 Gîrban, Anania
1 Goertsches, Oliver
1 Gorni, Gianluca
1 Guha, Partha
1 Ha, Seung-Yeal
1 Hedrea, Ciprian
1 Hernández-Bermejo, Benito
1 Holm, Darryl Dallas
1 Izosimov, A. M.
1 Izosimov, Anton
1 Jacobo, Martin
1 Kang, Myeongju
1 Khare, Swanand R.
1 Kim, Dohyun
1 Kim, Jeongho
1 Kuzemsky, Alexander Leonidovich
1 Laínz, Manuel
1 Lane, Jeremy
1 Li, Rencang
1 Lin, Zhangli
1 López-Gordón, Asier
1 Nicoară, Ştefan
1 Niu, Hongjiao
1 Opriş, Dumitru
1 Pazim, Rubens
1 Pelayo, Alvaro
1 Petrecca, David
1 Petrişor, Camelia-Ionela
1 Popa, Călin-Adrian
1 Remsing, Claudiu-Cristian
1 Román-Roy, Narciso
1 Rump, Wolfgang
1 Saha, Tanay Kumar
1 Santoso, Jenny
1 Tang, Yifa
1 Texier, Benjamin
1 Tolman, Susan
1 Tsyganov, Andreĭ Vladimirovich
1 Turhan, Murat
1 Vera, Juan A.
1 Voicu, Constantin
1 Wang, Li
1 Xiao, Bo
1 Yang, Insoon
1 Zampieri, Gaetano
1 Zhang, Lei-Hong
1 Zhu, Aiqing
1 Zumbrun, Kevin R.
all top 5

Cited in 52 Serials

7 International Journal of Geometric Methods in Modern Physics
5 Journal of Geometry and Physics
4 Acta Mechanica
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Mathematical Problems in Engineering
4 Regular and Chaotic Dynamics
3 Journal of Nonlinear Science
3 Journal of Applied Mathematics
3 Theoretical and Applied Mechanics
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Journal of Differential Equations
2 Physica D
2 Applied Mathematics Letters
2 SIAM Journal on Matrix Analysis and Applications
2 Nonlinear Dynamics
2 Journal of Geometric Mechanics
2 Open Mathematics
1 International Journal of Modern Physics B
1 Communications in Mathematical Physics
1 International Journal of Control
1 Mathematical Methods in the Applied Sciences
1 Moscow University Mathematics Bulletin
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Optimization Theory and Applications
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Topology and its Applications
1 Systems & Control Letters
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Optimization
1 Journal of Mathematical Imaging and Vision
1 Russian Journal of Mathematical Physics
1 International Journal of Computer Vision
1 Bulletin des Sciences Mathématiques
1 Transformation Groups
1 Mathematical Physics, Analysis and Geometry
1 Nonlinear Analysis. Real World Applications
1 Algebraic & Geometric Topology
1 Dynamical Systems
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Proceedings of the Steklov Institute of Mathematics
1 Optimization Letters
1 São Paulo Journal of Mathematical Sciences
1 Advances in Mathematical Physics
1 Communications in Mathematics
1 Research in the Mathematical Sciences
1 International Journal of Applied and Computational Mathematics

Citations by Year