# zbMATH — the first resource for mathematics

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 Documents Indexed: 170 Publications since 1985, including 25 Books Reviewing Activity: 474 Reviews
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#### Co-Authors

 47 single-authored 27 Udriste, Constantin N. 18 Stavrinos, Panayiotis C. 9 Nicola, Ileana Rodica 8 Red’kov, Victor M. 8 Trenčevski, Kostadin G. 7 Stojanov, Jelena 7 Udrişte, Aneta 6 Neagu, Mircea 6 Patrangenaru, Victor 6 Postolache, Mihai 5 Krylova, Nina G. 5 Ovsiyuk, Elena M. 4 Dorfmeister, Josef F. 4 Grushevskaya, Halina V. 4 Prezas, Nikolaos 3 Bibic, Simona-Mihaela 3 Kisel’, V. V. 3 Manouselis, P. 3 Stamin, Cristina Ştefania 3 Veko, Olga V. 3 Voicu, Nicoleta 3 Vorobiev, Ghenady 3 Voynova, Ya. A. 2 Celakoska, Emilija G. 2 Crane, Michael A. 2 Galmak, Aleksandr 2 Ikeda, Soichi 2 Liu, Xiuwen 2 Miron, Radu 2 Oană, Alexandru 2 Ovsiyuk, E. V. 2 Patrangenaru, Vlad P. 2 Rahula, Maido 2 Tsagas, Grigoris F. 1 Anastasiei, Mihai 1 Brinzei, Nicoleta 1 Bucur, Danut 1 Carusu, Nicu Mircea 1 Čomić, Irena 1 Crâşmăreanu, Mircea 1 Deng, Yifang 1 Derado, Gordana 1 Descombes, Xavier 1 Dumitru, Stefan 1 Gal’mak, Alexandr M. 1 George, G. Krylov 1 Hassan, Zahir Abdul Haddi 1 Ihor, V. Lipnevich 1 Lebedev, Sergey 1 Lee, Hwiyoung 1 Leiko, Sviatoslav 1 Liu, Weifan 1 Manea, Adelina 1 Manukyan, Ashot M. 1 Mititelu, Ştefan 1 Munteanu, Gh. D. 1 Olteanu, Alina 1 Olteanu, Octav 1 Opriş, Dumitru 1 Perminov, Nikolay 1 Peyghan, Esmaeil 1 Pitea, Ariana 1 Raigorodski, Leonid D. 1 Red’ko, Anastasia 1 Roxburgh, Ian W. 1 Tavakol, R. K. 1 Tayebi, Akbar 1 Tevy, Ionel 1 Thompson, Hilary W. 1 Vîlcea, Ştefania-Alina 1 Yao, Kouadio David
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#### Serials

 18 BSG Proceedings 11 Applied Sciences 10 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 9 Balkan Journal of Geometry and its Applications (BJGA) 6 Tensor. New Series 4 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 4 DGDS. Differential Geometry – Dynamical Systems 4 Nonlinear Phenomena in Complex Systems (Minsk) 3 Analele Universităţii Bucureşti. Matematică 3 Linear Algebra and its Applications 3 Algebras, Groups and Geometries 3 ROMAI Journal 2 Reports on Mathematical Physics 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 2 International Journal of Mathematics and Mathematical Sciences 2 Publicationes Mathematicae 2 Studii şi Cercetări Matematice 2 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 2 Scientific Bulletin. Politehnica University of Bucharest. Series A 2 Scientific Papers (Scientific Annals) of University of Agricultural Sciences and Veterinary Medicine. Faculty of Horticulture 1 International Journal of Theoretical Physics 1 Journal of the Mathematical Society of Japan 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quarterly of Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Facta Universitatis. Series Mathematics and Informatics 1 Matematichki Bilten 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Filomat 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Informatică 1 Analele Universităţii din Timişoara. Seria Matematică-Informatică 1 Novi Sad Journal of Mathematics 1 International Journal of Pure and Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Journal of the Calcutta Mathematical Society 1 Applied Sciences. Monographs 1 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 1 Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 DGDS. Differential Geometry – Dynamical Systems. Monographs
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#### Fields

 119 Differential geometry (53-XX) 37 Global analysis, analysis on manifolds (58-XX) 29 Dynamical systems and ergodic theory (37-XX) 19 General and overarching topics; collections (00-XX) 18 Quantum theory (81-XX) 16 Biology and other natural sciences (92-XX) 15 Optics, electromagnetic theory (78-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Relativity and gravitational theory (83-XX) 13 Topological groups, Lie groups (22-XX) 13 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 12 Statistics (62-XX) 12 Mechanics of particles and systems (70-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 8 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Nonassociative rings and algebras (17-XX) 6 Geometry (51-XX) 5 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

37 Publications have been cited 81 times in 56 Documents Cited by Year
Einstein equations for $$(h,v)$$-Berwald-Moor relativistic models. Zbl 1106.53017
2006
Birkhoff decompositions and Iwasawa decompositions for loop groups. Zbl 0996.22013
2001
Notable submanifolds in Berwald-Moór spaces. Zbl 1227.53031
2010
Jet single-time Lagrange geometry and its applications. Zbl 1229.53001
2011
Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. Zbl 1110.53051
2005
Research of gravitation in flat Minkowski space. Zbl 1211.83027
2011
Applications of resultants in the spectral $$m$$-root framework. Zbl 1239.53023
2010
Synge-Beil and Riemann-Jacobi jet structures with applications to physics. Zbl 1026.58002
2003
Weak gravitational fields in generalized metric spaces. Zbl 1052.53029
2001
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. Zbl 0958.58012
2000
Spectra of symmetric tensors and $$m$$-root Finsler models. Zbl 1230.15015
2012
On the Legendre transform and Hamiltonian formalism in Berwald-Moor geometry. Zbl 1206.53023
2010
Leafwise 2-jet cohomology on foliated Finsler manifolds. Zbl 1187.53025
2009
Projective shape manifolds and coplanarity of landmark configurations. A nonparametric approach. Zbl 1180.62067
Balan, V.; Crane, M.; Patrangenaru, V.; Liu, Xiuwen
2009
Weak linearized gravitational models based on Finslerian $$(\alpha, \beta)$$-metrics. Zbl 1074.53012
2004
Deviations of geodesics in fibered Finslerian approach. Zbl 0867.53018
Balan, V.; Stavrinos, P. C.
1996
Geometry of space-time and generalised Lagrange gauge theory. Zbl 0796.53020
Miron, R.; Tavakol, R. K.; Balan, V.; Roxburgh, I.
1993
Anti-regression on manifolds with an application to 3D projective shape analysis. Zbl 1411.62099
Deng, Yifang; Pătrăngenaru, Vic; Balan, Vladimir
2018
Spin $$1/2$$ particle with two masses in magnetic field. Zbl 1402.81139
Ovsiyuk, E. M.; Veko, O. V.; Voynova, Ya. A.; Kisel, V. V.; Balan, V.; Red’kov, V. M.
2018
Spin 1 particle with anomalous magnetic moment in an external uniform magnetic field. Zbl 1375.81084
Kisel, V.; Voynova, Ya.; Ovsiyuk, E.; Balan, V.; Red’kov, V.
2017
Multiple-relaxation-time Finsler-Lagrange dynamics in a compressed Langmuir monolayer. Zbl 1360.82065
Balan, V.; Grushevskaya, H. V.; Krylova, N. G.; Neagu, M.
2016
Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space. Zbl 1326.81060
Balan, Vladimir; Manukyan, Ashot M.; Ovsiyuk, Elena M.; Red’kov, Victor M.; Veko, Olga V.
2015
Finsler geometry approach to thermodynamics of first order phase transitions in monolayers. Zbl 1333.53111
Balan, Vladimir; Grushevskaya, Halina; Krylova, Nina
2015
Methodology for 3D scene reconstruction from digital camera images. Zbl 1260.62053
Patrangenaru, V.; Crane, M. A.; Liu, X.; Descombes, X.; Derado, G.; Liu, W.; Balan, V.; Patrangenaru, V. P.; Thompson, H. W.
2012
Euclidean geometry of Finsler wavefronts through Gaussian curvature. Zbl 1299.53142
2010
Jet geometrical extension of the KCC-invariants. Zbl 1217.58001
2010
Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE. Zbl 1194.37171
2009
KCC and linear stability for the Parkinson tremor model. Zbl 1127.37055
Balan, V.
2007
Stabilization with feedback control in the Kaldor economic model. Zbl 1131.93013
2007
Applications of the nonlinear feedback control in neural excitation processes. Zbl 1165.37341
2006
Time-delayed flow of hepatocyte physiology. Zbl 1150.37390
Nicola, Ileana Rodica; Udrişte, Constantin; Bălan, Vladimir
2005
Variational problems in the geometrized first-order jet framework. Zbl 1117.58002
2004
Note on geodesics in distinguished jet framework. Zbl 1088.58501
2004
Killing symmetries of Einstein equations in geometrized fibered framework. Zbl 1065.58001
Balan, V.; Stavrinos, P. C.
2003
Notable curves in geometrized $$J^1(T,M)$$ framework. Zbl 1062.58005
2003
On the DPW method for the tangent group. Zbl 0962.22011
2000
Generalized Einstein-Yang Mills equations for the space $$GL^ n(M,g_{ij}(x,y))$$ in the case of $$g_{ij}(x,y)=e^{2\sigma(x,y)}\gamma_{ij}(x)$$. Zbl 0820.53038
1993
Anti-regression on manifolds with an application to 3D projective shape analysis. Zbl 1411.62099
Deng, Yifang; Pătrăngenaru, Vic; Balan, Vladimir
2018
Spin $$1/2$$ particle with two masses in magnetic field. Zbl 1402.81139
Ovsiyuk, E. M.; Veko, O. V.; Voynova, Ya. A.; Kisel, V. V.; Balan, V.; Red’kov, V. M.
2018
Spin 1 particle with anomalous magnetic moment in an external uniform magnetic field. Zbl 1375.81084
Kisel, V.; Voynova, Ya.; Ovsiyuk, E.; Balan, V.; Red’kov, V.
2017
Multiple-relaxation-time Finsler-Lagrange dynamics in a compressed Langmuir monolayer. Zbl 1360.82065
Balan, V.; Grushevskaya, H. V.; Krylova, N. G.; Neagu, M.
2016
Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space. Zbl 1326.81060
Balan, Vladimir; Manukyan, Ashot M.; Ovsiyuk, Elena M.; Red’kov, Victor M.; Veko, Olga V.
2015
Finsler geometry approach to thermodynamics of first order phase transitions in monolayers. Zbl 1333.53111
Balan, Vladimir; Grushevskaya, Halina; Krylova, Nina
2015
Spectra of symmetric tensors and $$m$$-root Finsler models. Zbl 1230.15015
2012
Methodology for 3D scene reconstruction from digital camera images. Zbl 1260.62053
Patrangenaru, V.; Crane, M. A.; Liu, X.; Descombes, X.; Derado, G.; Liu, W.; Balan, V.; Patrangenaru, V. P.; Thompson, H. W.
2012
Jet single-time Lagrange geometry and its applications. Zbl 1229.53001
2011
Research of gravitation in flat Minkowski space. Zbl 1211.83027
2011
Notable submanifolds in Berwald-Moór spaces. Zbl 1227.53031
2010
Applications of resultants in the spectral $$m$$-root framework. Zbl 1239.53023
2010
On the Legendre transform and Hamiltonian formalism in Berwald-Moor geometry. Zbl 1206.53023
2010
Euclidean geometry of Finsler wavefronts through Gaussian curvature. Zbl 1299.53142
2010
Jet geometrical extension of the KCC-invariants. Zbl 1217.58001
2010
Leafwise 2-jet cohomology on foliated Finsler manifolds. Zbl 1187.53025
2009
Projective shape manifolds and coplanarity of landmark configurations. A nonparametric approach. Zbl 1180.62067
Balan, V.; Crane, M.; Patrangenaru, V.; Liu, Xiuwen
2009
Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE. Zbl 1194.37171
2009
KCC and linear stability for the Parkinson tremor model. Zbl 1127.37055
Balan, V.
2007
Stabilization with feedback control in the Kaldor economic model. Zbl 1131.93013
2007
Einstein equations for $$(h,v)$$-Berwald-Moor relativistic models. Zbl 1106.53017
2006
Applications of the nonlinear feedback control in neural excitation processes. Zbl 1165.37341
2006
Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups. Zbl 1110.53051
2005
Time-delayed flow of hepatocyte physiology. Zbl 1150.37390
Nicola, Ileana Rodica; Udrişte, Constantin; Bălan, Vladimir
2005
Weak linearized gravitational models based on Finslerian $$(\alpha, \beta)$$-metrics. Zbl 1074.53012
2004
Variational problems in the geometrized first-order jet framework. Zbl 1117.58002
2004
Note on geodesics in distinguished jet framework. Zbl 1088.58501
2004
Synge-Beil and Riemann-Jacobi jet structures with applications to physics. Zbl 1026.58002
2003
Killing symmetries of Einstein equations in geometrized fibered framework. Zbl 1065.58001
Balan, V.; Stavrinos, P. C.
2003
Notable curves in geometrized $$J^1(T,M)$$ framework. Zbl 1062.58005
2003
Birkhoff decompositions and Iwasawa decompositions for loop groups. Zbl 0996.22013
2001
Weak gravitational fields in generalized metric spaces. Zbl 1052.53029
2001
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. Zbl 0958.58012
2000
On the DPW method for the tangent group. Zbl 0962.22011
2000
Deviations of geodesics in fibered Finslerian approach. Zbl 0867.53018
Balan, V.; Stavrinos, P. C.
1996
Geometry of space-time and generalised Lagrange gauge theory. Zbl 0796.53020
Miron, R.; Tavakol, R. K.; Balan, V.; Roxburgh, I.
1993
Generalized Einstein-Yang Mills equations for the space $$GL^ n(M,g_{ij}(x,y))$$ in the case of $$g_{ij}(x,y)=e^{2\sigma(x,y)}\gamma_{ij}(x)$$. Zbl 0820.53038
1993
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all top 5

#### Cited in 47 Serials

 4 International Journal of Geometric Methods in Modern Physics 3 Journal of Mathematical Sciences (New York) 2 Advances in Mathematics 2 Linear Algebra and its Applications 2 Balkan Journal of Geometry and its Applications (BJGA) 2 Nonlinear Analysis. Real World Applications 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Numerical Linear Algebra with Applications 1 Turkish Journal of Mathematics 1 Selecta Mathematica. New Series 1 Methodology and Computing in Applied Probability 1 Applied Sciences 1 DGDS. Differential Geometry – Dynamical Systems 1 Gravitation & Cosmology 1 Matematicheskoe Modelirovanie 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Journal of Dynamical Systems and Geometric Theories 1 Central European Journal of Mathematics 1 Frontiers of Mathematics in China 1 Tbilisi Mathematical Journal 1 Sankhyā. Series A 1 Problemy Fiziki, Matematiki i Tekhniki 1 Chinese Journal of Mathematics
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#### Cited in 32 Fields

 40 Differential geometry (53-XX) 9 Relativity and gravitational theory (83-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 5 Quantum theory (81-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)