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Author ID: bucataru.ioan Recent zbMATH articles by "Bucataru, Ioan"
Published as: Bucataru, Ioan; Bucataru, I.; Bucătaru, Ioan; Bucătaru, I.
Homepage: http://www.math.uaic.ro/~bucataru/
External Links: MGP
Documents Indexed: 60 Publications since 1996, including 1 Book
Reviewing Activity: 81 Reviews
Co-Authors: 19 Co-Authors with 45 Joint Publications
285 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 239 times in 147 Documents Cited by Year
Finsler-Lagrange geometry. Applications to dynamical systems. Zbl 1141.53070
Bucataru, Ioan; Miron, Radu
27
2007
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
17
2003
Projective and Finsler metrizability: parameterization-rigidity of the geodesics. Zbl 1263.53070
Bucataru, Ioan; Muzsnay, Zoltán
14
2012
Coordinate-free characterization of the symmetry classes of elasticity tensors. Zbl 1151.74309
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
14
2007
Space of \(SO(3)\)-orbits of elasticity tensors. Zbl 1162.74322
Bóna, A.; Bucataru, I.; Slawinski, M. A.
11
2008
Material symmetries of elasticity tensors. Zbl 1065.74007
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
11
2004
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
10
2009
A geometric setting for systems of ordinary differential equations. Zbl 1286.34018
Bucataru, Ioan; Constantinescu, Oana; Dahl, Matias F.
10
2011
Generalized orthogonality between rays and wavefronts in anisotropic inhomogeneous media. Zbl 1124.74027
Bucataru, Ioan; Slawinski, Michael A.
9
2005
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
8
2001
Invariant properties for finding distance in space of elasticity tensors. Zbl 1160.74310
Bucataru, Ioan; Slawinski, Michael A.
8
2009
Metric nonlinear connections. Zbl 1125.53017
Bucataru, Ioan
8
2007
Projective metrizability and formal integrability. Zbl 1244.49072
Bucataru, Ioan; Muzsnay, Zoltán
8
2011
Characterization of elasticity-tensor symmetries using \(SU(2)\). Zbl 1081.74005
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
7
2004
Linear connections for systems of higher order differential equations. Zbl 1078.58005
Bucataru, Ioan
7
2005
A complete lift for semisprays. Zbl 1189.53038
Bucataru, Ioan; Dahl, Matias F.
6
2010
Sprays metrizable by Finsler functions of constant flag curvature. Zbl 1281.53074
Bucataru, Ioan; Muzsnay, Zoltán
5
2013
Canonical semisprays for higher-order Lagrange spaces. Zbl 1126.70013
Bucataru, Ioan
5
2007
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
4
2001
Finsler metrizable isotropic sprays and Hilbert’s fourth problem. Zbl 1307.53060
Bucataru, Ioan; Muzsnay, Zoltán
4
2014
Nonholonomic frames in Finsler geometry. Zbl 1031.53105
Bucătaru, Ioan
4
2002
The geometry of Lagrange spaces. Zbl 1105.53042
Miron, Radu; Anastasiei, Mihai; Bucataru, Ioan
4
2003
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
3
2001
A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces. Zbl 1278.53079
Bucataru, Ioan
3
2013
Continuous distributions of dislocations in bodies with microstructure. Zbl 1046.74004
Epstein, Marcelo; Bucataru, Ioan
3
2003
Symmetries, Newtonoid vector fields and conservation laws in the Langrangian \(k\)-symplectic formalism. Zbl 1321.53093
Bua, Lucía; Bucataru, Ioan; Salgado, Modesto
3
2012
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2
2001
Material symmetries versus wavefront symmetries. Zbl 1116.74032
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2
2007
Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations. Zbl 1200.58017
Bucataru, Ioan; Constantinescu, Oana
2
2010
The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. Zbl 1229.70044
Bucataru, Ioan; Miron, Radu
2
2009
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami theorem. Zbl 1444.53049
Bucataru, Ioan; Creţu, Georgeta
2
2020
Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces. Zbl 1356.53021
Bucataru, Ioan; Milkovszki, Tamás; Muzsnay, Zoltán
2
2016
Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature. Zbl 1358.53079
Bucataru, Ioan
2
2016
Nonlinear connections for nonconservative mechanical systems. Zbl 1156.53047
Bucataru, Ioan; Miron, Radu
2
2007
\(k\)-parameter geodesic variations. Zbl 1252.53048
Bucataru, Ioan; Dahl, Matias F.
2
2012
Generalized Helmholtz conditions for non-conservative Lagrangian systems. Zbl 1372.70045
Bucataru, Ioan; Constantinescu, Oana
2
2015
Horizontal lifts in the higher order geometry. Zbl 0992.53054
Bucataru, Ioan
1
2000
Sprays and homogeneous connections in the higher order geometry. Zbl 1017.53027
Bucătaru, Ioan
1
1998
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
1
2003
Geometrical theory of dislocations in bodies with microstructure. Zbl 1081.53026
Bucataru, Ioan; Epstein, Marcelo
1
2004
Symmetries in Lagrangian field theory. Zbl 1383.70018
Búa, Lucia; Bucataru, Ioan; de León, Manuel; Salgado, Modesto; Vilariño, Silvia
1
2015
A geometric space without conjugate points. Zbl 1222.53043
Bucataru, Ioan; Dahl, Matias F.
1
2010
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami theorem. Zbl 1444.53049
Bucataru, Ioan; Creţu, Georgeta
2
2020
Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces. Zbl 1356.53021
Bucataru, Ioan; Milkovszki, Tamás; Muzsnay, Zoltán
2
2016
Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature. Zbl 1358.53079
Bucataru, Ioan
2
2016
Generalized Helmholtz conditions for non-conservative Lagrangian systems. Zbl 1372.70045
Bucataru, Ioan; Constantinescu, Oana
2
2015
Symmetries in Lagrangian field theory. Zbl 1383.70018
Búa, Lucia; Bucataru, Ioan; de León, Manuel; Salgado, Modesto; Vilariño, Silvia
1
2015
Finsler metrizable isotropic sprays and Hilbert’s fourth problem. Zbl 1307.53060
Bucataru, Ioan; Muzsnay, Zoltán
4
2014
Sprays metrizable by Finsler functions of constant flag curvature. Zbl 1281.53074
Bucataru, Ioan; Muzsnay, Zoltán
5
2013
A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces. Zbl 1278.53079
Bucataru, Ioan
3
2013
Projective and Finsler metrizability: parameterization-rigidity of the geodesics. Zbl 1263.53070
Bucataru, Ioan; Muzsnay, Zoltán
14
2012
Symmetries, Newtonoid vector fields and conservation laws in the Langrangian \(k\)-symplectic formalism. Zbl 1321.53093
Bua, Lucía; Bucataru, Ioan; Salgado, Modesto
3
2012
\(k\)-parameter geodesic variations. Zbl 1252.53048
Bucataru, Ioan; Dahl, Matias F.
2
2012
A geometric setting for systems of ordinary differential equations. Zbl 1286.34018
Bucataru, Ioan; Constantinescu, Oana; Dahl, Matias F.
10
2011
Projective metrizability and formal integrability. Zbl 1244.49072
Bucataru, Ioan; Muzsnay, Zoltán
8
2011
A complete lift for semisprays. Zbl 1189.53038
Bucataru, Ioan; Dahl, Matias F.
6
2010
Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations. Zbl 1200.58017
Bucataru, Ioan; Constantinescu, Oana
2
2010
A geometric space without conjugate points. Zbl 1222.53043
Bucataru, Ioan; Dahl, Matias F.
1
2010
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
10
2009
Invariant properties for finding distance in space of elasticity tensors. Zbl 1160.74310
Bucataru, Ioan; Slawinski, Michael A.
8
2009
The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. Zbl 1229.70044
Bucataru, Ioan; Miron, Radu
2
2009
Space of \(SO(3)\)-orbits of elasticity tensors. Zbl 1162.74322
Bóna, A.; Bucataru, I.; Slawinski, M. A.
11
2008
Finsler-Lagrange geometry. Applications to dynamical systems. Zbl 1141.53070
Bucataru, Ioan; Miron, Radu
27
2007
Coordinate-free characterization of the symmetry classes of elasticity tensors. Zbl 1151.74309
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
14
2007
Metric nonlinear connections. Zbl 1125.53017
Bucataru, Ioan
8
2007
Canonical semisprays for higher-order Lagrange spaces. Zbl 1126.70013
Bucataru, Ioan
5
2007
Material symmetries versus wavefront symmetries. Zbl 1116.74032
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2
2007
Nonlinear connections for nonconservative mechanical systems. Zbl 1156.53047
Bucataru, Ioan; Miron, Radu
2
2007
Generalized orthogonality between rays and wavefronts in anisotropic inhomogeneous media. Zbl 1124.74027
Bucataru, Ioan; Slawinski, Michael A.
9
2005
Linear connections for systems of higher order differential equations. Zbl 1078.58005
Bucataru, Ioan
7
2005
Material symmetries of elasticity tensors. Zbl 1065.74007
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
11
2004
Characterization of elasticity-tensor symmetries using \(SU(2)\). Zbl 1081.74005
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
7
2004
Geometrical theory of dislocations in bodies with microstructure. Zbl 1081.53026
Bucataru, Ioan; Epstein, Marcelo
1
2004
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
17
2003
The geometry of Lagrange spaces. Zbl 1105.53042
Miron, Radu; Anastasiei, Mihai; Bucataru, Ioan
4
2003
Continuous distributions of dislocations in bodies with microstructure. Zbl 1046.74004
Epstein, Marcelo; Bucataru, Ioan
3
2003
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
1
2003
Nonholonomic frames in Finsler geometry. Zbl 1031.53105
Bucătaru, Ioan
4
2002
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
8
2001
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
4
2001
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
3
2001
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2
2001
Horizontal lifts in the higher order geometry. Zbl 0992.53054
Bucataru, Ioan
1
2000
Sprays and homogeneous connections in the higher order geometry. Zbl 1017.53027
Bucătaru, Ioan
1
1998
all top 5

Cited by 159 Authors

22 Bucataru, Ioan
13 Yajima, Takahiro
9 Slawinski, Michael A.
7 Mestdag, Tom
7 Muzsnay, Zoltán
6 Crâşmăreanu, Mircea
6 Nagahama, Hiroyuki
6 Yamasaki, Kazuhito
5 Constantinescu, Oana
4 Desmorat, Boris
4 Kolev, Boris
4 Olive, Marc
4 Popescu, Paul P.
4 Suri, Ali
3 Bos, Len P.
3 Bua, Lucía
3 Crampin, Mike
3 Creţu, Georgeta
3 Dahl, Matias F.
3 Desmorat, Rodrigue
3 Guilleminot, Johann
3 Itin, Yakov
3 Kochetov, Mikhail Viktorovich
3 Pişcoran, Laurian-Ioan
3 Salgado, Modesto R.
3 Soize, Christian
2 Antonelli, Peter Louis
2 Auffray, Nicolas
2 Bóna, Andrej
2 Boskoff, Wladimir-Georges
2 Elgendi, Salah Gomaa
2 Epstein, Marcelo
2 Gallego Torromé, Ricardo
2 Harko, Tiberiu
2 Ida, Cristian
2 Javaloyes, Miguel Angel
2 Milkovszki, Tamás
2 Minguzzi, Ettore
2 Muñoz Masqué, Jaime
2 Rezaii, Morteza Mirmohammad
2 Rosado María, Eugenia
2 Rutz, Solange F.
2 Sánchez Caja, Miguel
2 Sarlet, Willy
2 Suceavă, Bogdan Dragos
2 Urban, Zbyněk
2 Wei, Zhouchao
2 Wright, Thomas W.
1 Abramian, S.
1 Ahangari, Fatemeh
1 Alipour-Fakhri, Yousof
1 Anastasiei, Mihai
1 Arcuş, Constantin M.
1 Atayi, Dordi Mohammad
1 Auffray, Nicole
1 Azizpour, Esmaeil
1 Balan, Vladimir
1 Bayrakdar, Tuna
1 Bayrakdar, Zahide Ok
1 Bejan, Cornelia-Livia
1 Bofill, Josep Maria
1 Böhmer, Christian G.
1 Bonnet, Guy
1 Bukusheva, Aliya V.
1 Carielo, M. S.
1 Chang, Zhe
1 Chowdappa, Chowdari Kondasandra
1 Ciucă, Marian G.
1 Dalton, David R.
1 Danek, Tomasz
1 Danila, Bogdan
1 de León Rodríguez, Manuel
1 de Saxcé, Géry
1 Derrien, Katell
1 Diner, Çağri
1 Drachal, Krzysztof
1 Druţă-Romaniuc, Simona-Luiza
1 Farré Puiggalí, M.
1 Fodor, Dan Gregorian
1 Fuster, Andrea
1 Galaev, Sergei Vasil’evich
1 Gilormini, Pierre
1 Gràcia, Xavier
1 Gratus, Jonathan
1 Grothaus, Martin
1 Grushevskaya, Halina V.
1 Hajdu, Sándor
1 He, Qichang
1 Heefer, Sjors
1 Hehl, Friedrich W.
1 Hirakui, Yuma
1 Hreţcanu, Cristina-Elena
1 Hrimiuc, Dragoş
1 Huang, Libing
1 Huang, Qiujian
1 Ishida, Muneyuki
1 Jangir, Sachin
1 Joharinad, Parvaneh
1 Kampalappa, Narasimhamurthy Senajji
1 Krupka, Demeter
...and 59 more Authors
all top 5

Cited in 64 Serials

18 Journal of Elasticity
14 International Journal of Geometric Methods in Modern Physics
10 Differential Geometry and its Applications
8 Journal of Geometry and Physics
8 Mediterranean Journal of Mathematics
7 Nonlinear Analysis. Real World Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Geometric Mechanics
3 Journal of Mathematical Physics
3 International Journal of Mathematics
3 Mathematics and Mechanics of Solids
2 Reports on Mathematical Physics
2 Czechoslovak Mathematical Journal
2 International Journal for Numerical Methods in Engineering
2 The Journal of Geometric Analysis
2 Continuum Mechanics and Thermodynamics
2 Turkish Journal of Mathematics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 DGDS. Differential Geometry – Dynamical Systems
2 Journal of Nonlinear Mathematical Physics
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 International Journal of Solids and Structures
1 International Journal of Theoretical Physics
1 Periodica Mathematica Hungarica
1 Physics Letters. A
1 Physics Letters. B
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 International Journal of Mathematics and Mathematical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Control and Optimization
1 Tensor. New Series
1 Note di Matematica
1 Chinese Annals of Mathematics. Series B
1 Stochastic Processes and their Applications
1 Russian Mathematics
1 Advances in Applied Clifford Algebras
1 Journal of Mathematical Chemistry
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Mathematical Physics, Analysis and Geometry
1 Journal of Applied Mechanics and Technical Physics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Acta Mathematica Sinica. English Series
1 Applied Sciences
1 Advances in Geometry
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Dynamical Systems and Geometric Theories
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Foundations of Physics
1 Journal of Physics A: Mathematical and Theoretical
1 International Electronic Journal of Geometry
1 Advances in High Energy Physics
1 Advances in Mathematical Physics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Communications in Mathematics
1 Chinese Journal of Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year