Edit Profile (opens in new tab) Birtea, Petre Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 1 single-authored 20 Puta, Mircea 14 Comănescu, Dan 11 Tudoran, Răzvan Micu 10 Caşu, Ioan 7 Ratiu, Tudor Stefan 4 Dobre, Liliana 3 Moş, Ionel 2 Aron, Anania 2 Ortega, Juan-Pablo 1 Boleantu, Mihai 1 Hedrea, Ciprian 1 Hogea, Cosmin 1 Popa, Călin-Adrian 1 Şuşoi, Paul Mihai 1 Turhan, Murat 1 Voicu, Constantin all top 5 Serials 5 International Journal of Geometric Methods in Modern Physics 3 Bulletin des Sciences Mathématiques 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Tensor. New Series 2 Journal of Nonlinear Science 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Physica D 1 Applied Mathematics Letters 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Lie Theory 1 International Journal of Mathematics, Game Theory and Algebra 1 SIAM Journal on Applied Dynamical Systems 1 Optimization Letters 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 19 Mechanics of particles and systems (70-XX) 16 Dynamical systems and ergodic theory (37-XX) 9 Differential geometry (53-XX) 8 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 1131.34034Birtea, Petre; Puta, Mircea; Tudoran, Răzvan Micu 13 2007 Asymptotic stability for a class of metriplectic systems. Zbl 1152.81343Birtea, Petre; Boleantu, Mihai; Puta, Mircea; Tudoran, Razvan Micu 11 2007 Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat 11 2012 Geometrical dissipation for dynamical systems. Zbl 1300.37020Birtea, Petre; Comănescu, Dan 9 2012 First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds. Zbl 1434.90193Birtea, Petre; Caşu, Ioan; Comănescu, Dan 7 2019 Equivalence of energy methods in stability theory. Zbl 1137.34338Birtea, P.; Puta, M. 7 2007 Hessian operators on constraint manifolds. Zbl 1329.53025Birtea, Petre; Comănescu, Dan 6 2015 Openness and convexity for momentum maps. Zbl 1163.53053Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S. 6 2009 Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems. Zbl 1387.70004Birtea, Petre; Caşu, Ioan; Comănescu, Dan 6 2012 Optimization on the real symplectic group. Zbl 1434.49026Birtea, Petre; Caşu, Ioan; Comănescu, Dan 5 2020 Newton algorithm on constraint manifolds and the 5-electron Thomson problem. Zbl 1370.49023Birtea, 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 1254.70017Birtea, Petre; Caşu, Ioan; Comănescu, Dan 5 2011 Asymptotic stability of dissipated Hamilton-Poisson systems. Zbl 1180.37025Birtea, Petre; Comănescu, Dan 5 2009 The stability problem and special solutions for the 5-components Maxwell-Bloch equations. Zbl 1370.37110Birtea, Petre; Caşu, Ioan 4 2013 Controllability of Poisson systems. Zbl 1101.93008Birtea, Petre; Puta, Mircea; Ratiu, Tudor S. 3 2004 Averaging on manifolds by embedding algorithm. Zbl 1292.49044Birtea, Petre; Comănescu, Dan; Popa, Călin-Adrian 3 2014 Invariant critical sets of conserved quantities. Zbl 1298.37076Birtea, Petre; Comănescu, Dan 3 2011 A short proof of chaos in an atmospheric system. Zbl 0997.86007Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan 3 2002 A local-to-global principle for convexity in metric spaces. Zbl 1148.53030Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S. 3 2008 On Ishii’s equation. Zbl 1079.37053Birtea, Petre; Puta, Mircea 2 2005 Stability, periodic solutions and numerical integration in the Kowalevski top dynamics. Zbl 1184.70003Aron, Anania; Birtea, Petre; Puta, Mircea; Şuşoi, Paul; Tudoran, Răzvan 2 2006 Controllability problems in the charged top dynamics. Zbl 1118.93008Birtea, Petre; Puta, Mircea; Tudoran, Răzvan; Voicu, Constantin 2 2007 Some remarks on the dynamics of the underwater vehicle. Zbl 1126.37052Birtea, Petre; Puta, Mircea; Tudoran, Răzvan 2 2007 On the symmetry breaking phenomenon. Zbl 1095.70008Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan Micu 1 2006 Some remarks on the Clebsch’s system. Zbl 1106.70007Birtea, Petre; Hogea, Cosmin; Puta, Mircea 1 2004 Symmetry breaking for toral actions in simple mechanical systems. Zbl 1222.70023Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan 1 2005 A note on stability of nongeneric equilibria for an underwater vehicle. Zbl 1473.70014Birtea, Petre; Comănescu, Dan 1 2017 Non-Noether conservation laws. Zbl 1261.37022Birtea, Petre; Tudoran, Răzvan M. 1 2012 The underwater vehicle dynamics with a fixed control authority. Zbl 1128.49033Aron, Anania; Birtea, Petre; Dobre, Liliana; Puta, Mircea; Tudoran, Răzvan 1 2006 Optimization on the real symplectic group. Zbl 1434.49026Birtea, Petre; Caşu, Ioan; Comănescu, Dan 5 2020 First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds. Zbl 1434.90193Birtea, Petre; Caşu, Ioan; Comănescu, Dan 7 2019 Newton algorithm on constraint manifolds and the 5-electron Thomson problem. Zbl 1370.49023Birtea, Petre; Comănescu, Dan 5 2017 A note on stability of nongeneric equilibria for an underwater vehicle. Zbl 1473.70014Birtea, Petre; Comănescu, Dan 1 2017 Hessian operators on constraint manifolds. Zbl 1329.53025Birtea, Petre; Comănescu, Dan 6 2015 Averaging on manifolds by embedding algorithm. Zbl 1292.49044Birtea, Petre; Comănescu, Dan; Popa, Călin-Adrian 3 2014 The stability problem and special solutions for the 5-components Maxwell-Bloch equations. Zbl 1370.37110Birtea, Petre; Caşu, Ioan 4 2013 Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. Zbl 1300.70005Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat 11 2012 Geometrical dissipation for dynamical systems. Zbl 1300.37020Birtea, Petre; Comănescu, Dan 9 2012 Sufficient conditions for instability of equilibrium for circulatory and gyroscopic systems. Zbl 1387.70004Birtea, Petre; Caşu, Ioan; Comănescu, Dan 6 2012 Non-Noether conservation laws. Zbl 1261.37022Birtea, 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 1254.70017Birtea, Petre; Caşu, Ioan; Comănescu, Dan 5 2011 Invariant critical sets of conserved quantities. Zbl 1298.37076Birtea, Petre; Comănescu, Dan 3 2011 Openness and convexity for momentum maps. Zbl 1163.53053Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S. 6 2009 Asymptotic stability of dissipated Hamilton-Poisson systems. Zbl 1180.37025Birtea, Petre; Comănescu, Dan 5 2009 A local-to-global principle for convexity in metric spaces. Zbl 1148.53030Birtea, Petre; Ortega, Juan-Pablo; Ratiu, Tudor S. 3 2008 Periodic orbits in the case of a zero eigenvalue. Zbl 1131.34034Birtea, Petre; Puta, Mircea; Tudoran, Răzvan Micu 13 2007 Asymptotic stability for a class of metriplectic systems. Zbl 1152.81343Birtea, Petre; Boleantu, Mihai; Puta, Mircea; Tudoran, Razvan Micu 11 2007 Equivalence of energy methods in stability theory. Zbl 1137.34338Birtea, P.; Puta, M. 7 2007 Controllability problems in the charged top dynamics. Zbl 1118.93008Birtea, Petre; Puta, Mircea; Tudoran, Răzvan; Voicu, Constantin 2 2007 Some remarks on the dynamics of the underwater vehicle. Zbl 1126.37052Birtea, Petre; Puta, Mircea; Tudoran, Răzvan 2 2007 Stability, periodic solutions and numerical integration in the Kowalevski top dynamics. Zbl 1184.70003Aron, Anania; Birtea, Petre; Puta, Mircea; Şuşoi, Paul; Tudoran, Răzvan 2 2006 On the symmetry breaking phenomenon. Zbl 1095.70008Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan Micu 1 2006 The underwater vehicle dynamics with a fixed control authority. Zbl 1128.49033Aron, Anania; Birtea, Petre; Dobre, Liliana; Puta, Mircea; Tudoran, Răzvan 1 2006 On Ishii’s equation. Zbl 1079.37053Birtea, Petre; Puta, Mircea 2 2005 Symmetry breaking for toral actions in simple mechanical systems. Zbl 1222.70023Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan 1 2005 Controllability of Poisson systems. Zbl 1101.93008Birtea, Petre; Puta, Mircea; Ratiu, Tudor S. 3 2004 Some remarks on the Clebsch’s system. Zbl 1106.70007Birtea, Petre; Hogea, Cosmin; Puta, Mircea 1 2004 A short proof of chaos in an atmospheric system. Zbl 0997.86007Birtea, Petre; Puta, Mircea; Ratiu, Tudor S.; Tudoran, Răzvan 3 2002 all cited Publications top 5 cited Publications 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 all top 5 Cited in 28 Fields 42 Mechanics of particles and systems (70-XX) 32 Dynamical systems and ergodic theory (37-XX) 19 Differential geometry (53-XX) 16 Ordinary differential equations (34-XX) 9 Numerical analysis (65-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Quantum theory (81-XX) 3 Partial differential equations (35-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year