Directii de cercetare:

1. Geometrie diferentiala: geometrii Riemann, Finsler, Lagrange, Hamilton, geometrie simplectica si  aplicatii in mecanica clasica si sisteme dinamice 

2. Fizica matematica: formalism lagrangian si hamiltonian, teorii de camp

3. Analiza globala: sisteme dinamice pe varietati diferentiabile

Publicatii:
a) Articole in reviste din tara:
1. “Estimation superieure de la dimension de Hausdorff de l'attracteur associe aux problemes d'evolution”, Analele Universitatii "Dunarea de Jos" din Galati, seria Matematica, Fizica, Mecanica Teoretica, fascicula II, supliment la tomul XVI (XXI), 1998, vol. I, Matematica, pag. 137-153, ISSN 1221-4531
2. “The Asymptotic Behavior of Positive Solutions for a Class of Nonlinear Differential Inequations of Second Order”, Analele Universitatii din Craiova, Seria Mecanica, nr.1/1999, pp. 30-34 (in colaborare cu O. Mustafa, I. Astefanei, D. Munteanu), ISSN 1223-5296
3. “On Gauge Transfomation in Relative Tangent Spaces and Nonlinear Gauge Connection”, Studii si Cercetari Stiintifice, Universitatea Bacau, Seria Matematica, nr.10/2000, pp. 223-232 (in colaborare cu L. Popescu, V. Slesar, C. Sterbeti), ISSN 1224-2519
4. “A Study on the Dynamical Systems in the Lagrangian and Hamiltonian Formalism”, Proc. Conferintei Anuale Nationale a S.S.M.R., Brasov, 24-26 mai 2001, Universitatea “Transilvania” Brasov, 2001, vol. I, pp. 169-178, ISBN 973-635-044-4, 973-635-045-2 vol. I
5. “Dynamical Systems on First and Second Order Hamilton Spaces”, Proc. of the Fifth International Workshop on Differential Geometry and Its Applications, Timisoara, 18-22 septembrie 2001, Universitatea de Vest Timisoara, 2001, An. Univ. de Vest Timisoara, vol. XXXIX, 2001, ser. Matematica-Informatica, fascicula-speciala Matematica, pp. 313-323, ISSN 1224-970X
6. “Conservation Laws for Dynamical Hamiltonian Systems on Hamilton Spaces of Order k>1", Scientific Bulletin of the “Politehnica” University of Timisoara, Romania, Ser. Mathematics&Physics, tom 47(61), fasc. 1, 2002, pp. 53-58, ISSN 1224-6069
7. “The Variational Problem in Singular Rheonomic Lagrange Spaces”, Analele Univ. de Vest Timisoara, Ser. Matematica-Informatica, vol. XL, fascicula 1, 2002, pp. 111-122 (in colaborare cu L. Popescu), ISSN 1224-970X
8. “About symmetries and conservation laws in Lagrangian and Hamiltonian ksymplectic formalism”, Analele Univ. “Al. I. Cuza” din Iasi (S.N.), Matematica., Tomul LIII, 2007, Supliment, 249-267, ISSN 1221-8421

b) Articole in reviste din strainatate:
1. “The Almost Presumable Maximality of Some Topological Lemma”,
Smarandache Notions Journal, vol. 11, no. 1-2-3, USA, 2000 pp. 192-195 (in colaborare
cu O. Mustafa)
2. “Approximations for Some Characteristics of a Certain Galton-Watson
Multiplying Process”, Smarandache Notions Journal, vol. 12, USA, 2001, pp. 180-191 (in
colaborare cu V. Seleacu)
3. “On the Semispray of Nonlinear Connections in Rheonomic Lagrange
Geometry”, Proc. of International Conference of Finsler and Lagrange Geometry, Iasi,
Romania, August 26-31, 2001, “Al. I. Cuza” University of Iassy, edited by M. Anastasiei,
Kluwer Academic Publishers, 2003, pp. 129-137, ISBN/SKU 1402013906
4. “Dynamical Hamiltonian Systems on Hamilton Spaces of Higher Order”, Proc.
of International Conference on Non-Euclidian Geometry in Modern Physics, Boyai-
Gauss-Lobachevsky 3, July 3-6, 2002, Tg. Mures, Romania, edited by I. Lovas, EP
Systema Debrecen, Hungary, 2003, pp. 11-17, ISBN 963 206 213 2
5. “Dynamical Hamiltonian Systems on Hamilton Spaces H (k )n ”, Libertas
Mathematica, vol. XXIV, 2004, Arlington, Texas, USA, pp. 103-110, ISSN 0278-5307
6. “The Günther's formalism in classical field theory: momentum map and
reduction”, Journal of Mathematical Physics, vol. 45, no. 5, May, 2004, pp. 1730-1751
(in colaborare cu Modesto Salgado, Angel M. Rey), ISSN 0022-2488
7. “Second Order Partial Differential Equations (SOPDE’s) and Nonlinear
Connections on the Tangent Bundle of k1–Velocities of a Manifold”, Differential
Geometry - Dynamical Systems Journal, vol. 8, 2006, pp. 166-180, ISSN 1454-511X
8. “Symmetries and conservation laws in higher order tangent bundles”, Journal
of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Special
Issue “Élie Cartan and Differential Geometry”, va apare in 2009, ISSN 1815-0659

9. “Symmetries and conservation in k-symplectic geometry”, BSGP 20/2013, pp. 16-35,   ISSN 1843-2654 · Printed version, ISSN 1843-2859 - Electronic version

c) Carti publicate:
1. “Probleme de algebra si analiza matematica (teste grila)”, Editura Universitaria, Craiova, 2000, 115 pag. (in colaborare cu P. Stavre, L. Popescu, V. Slesar), ISBN 973-8043-66-3
2. “Caiet de seminar pentru Algebra liniara, Geometrie analitica si Geometrie diferentiala“, Reprografia Universitatii din Craiova, 2000, 300 pag. (in colaborare cu M.M. Stanescu, V. Slesar)
3. “Probleme de Algebra liniara, Geometrie analitica si Geometrie diferentiala“, Editura Universitaria, Craiova, 2001, 2002 (editia a II-a), 286 pag. (in colaborare cu M.M. Stanescu, V. Slesar), ISBN 973-8043-45-X
4. . “Culegere de probleme de Algebra liniara, Geometrie analitica si Geometrie diferentiala“, Editura Sitech, Craiova, 2003, 2004 (editia a II-a), 2008 (editia a III-a) 282 pag. (in colaborare cu M.M. Stanescu, V. Slesar), ISBN 973-657-396-6
5. “Algebra liniara, Geometrie analitica si Geometrie diferentiala“, Editura Universitaria, Craiova, 2007, 220 pag. (in colaborare cu I. Vladimirescu), ISBN: RO 973-742-551-0, EU 978-973-742-551-5

d) Preprinturi:
1. “Some Example and Counterexample in Functional Analysis”, Proc. Conferintei de Matematica, mai 2001, Analele Universitatii “Babes-Bolyai”, Cluj-Napoca, Seria Matematica Didactica, 2001, (in colaborare cu D. Munteanu)
2. "On the Nonlinear Connections of 2-Semispray in 2-Tangent Bundle Geometry", preprint, 2003
3. "On the Nonlinear Connections of k-Semispray in k-Tangent Bundle Geometry", preprint, 2004

Conferinte:

1. “Estimation superieure de la dimension de Hausdorff de l'attracteur associe aux
problemes d'evolution”, Sesiunea Stiintifica Jubiliara "50 de ani de invatamant superior la
Galati", Galati, 23-24 octombrie 1998
2. “Dimensiunea Hausdorff a atractorului asociat unei probleme de tip parabolic
cvasiliniara“, Conferinta Anuala Nationala a. S.S.M.R., Craiova, 26-27 mai 1999
3. “On Gauge Transfomation in the Relative Tangent Spaces and Nonlinear
Gauge Connection”, Conferinta Nationala de Geometrie Finsler, Lagrange si Aplicatii,
Bacau, 17-21 februarie 2000
4. “A Study on the Dynamical Systems in the Lagrangian and Hamiltonian
Formalism”, Conferinta Anuala Nationala a S.S.M.R., Brasov, 24-26 mai 2001
5. “On the Semispray of Nonlinear Connections in Rheonomic Lagrange
Geometry”, International Conference of Finsler and Lagrange Geometry, Iasi, 26-31
august 2001
6. “Dynamical Systems on Hamilton Spaces of First and Second Order”, The Fifth
International Workshop on Differential Geometry and Its Applications, Timisoara, 18-22
septembrie 2001
7. “Conservation Laws for Dynamical Hamiltonian Systems on Hamilton Spaces
of Order k³ 1”, Al IX-lea Simpozion de Matematici si aplicatii, Timisoara, 1-4 noiembrie
2001
8. “Dynamical Hamiltonian Systems on Hamilton Spaces of Higher Order”, The
Third International Conference Boyai-Gauss-Lobachevsky, Tg. Mures, 3-6 iulie 2002
9. “Dynamical Hamiltonian Systems on Hamilton Spaces H (k )n ”, International
Conference on Differential Geometry: Lagrange and Hamilton Spaces. Homage to Acad.
Radu Miron at his 75 th Anniversary, Iasi, 26-30 august 2002
10. “Momentum map and reduction. Generalization to the polysymplectic case”,
Seminarul National de Geometrii Finsler-Lagrange-Hamilton si Aplicatii, Brasov, 23-25
septembrie 2004
11. “SOPDE’s and Nonlinear Connections on the Tangent Bundle of k1–
Velocities”, Quantum Models on Noncommutative and Deformed Spaces, SEENETMTP
WORKSHOP QM2005, Nis, Serbia&Montenegro, November 3-7, 2005
12. “Symmetries and conservation laws in higher order tangent bundles”, The
Seventh International Conference: Symmetry in Nonlinear Mathematical Physics, Kiev,
Ukraine, June 24-30, 2007
13. “About symmetries and conservation laws in Lagrangian and Hamiltonian ksymplectic
formalism”, International Conference on Differential Geometry: Lagrange
and Hamilton Spaces. Dedicated to Acad. Prof. Dr. Radu Miron at his 80 th Anniversary,
Iasi, September 3-8, 2007

14. “Symmetries and conservation laws in higher order geometry”, Florian Munteanu, The 6^th International Conference "Differential Geometry and Dynamical Systems 2012", 29.08 – 02.09.2012, Mangalia, Romania

Contracte de cercetare:

1) bursa TEMPUS la Universitatea "Pierre et Marie Curie" din Paris, sub coordonarea profesorului Thierry Cazenave, in perioada 15 martie 1997-15 iunie 1997, in domeniul de specializare: Sisteme dinamice si ecuatii de evolutie, cu scopul elaborarii tezei de dizertatie “Estimation de la dimension de Hausdorff de l'attracteur associe aux problemes d'evolution”

 2) bursa postdoctorala, finantata de Guvernul Romaniei, prin ONBSS-MEC, la Universitatea din Santiago de Compostela, Spania, la Departamentul de Geometrie si Topologie al Facultatii de Matematica, din 1 martie 2003 pana in 30 mai 2003, unde am lucrat impreuna cu profesorul Modesto Salgado    

 3) membru in echipa de cercetare a grantului CNCSIS nr. 81, cu titlul Geometria subspatiilor Finsler, Lagrange si Hamilton. Aplicatii in mecanica, director conf. dr. Marcela Popescu, finantat de Ministerul Educatiei si Cercetarii, in derulare in anul 2005

4) membru in echipa de cercetare a grantului CNCSIS-AT nr. 100, cu titlul “Integrarea asimptotica a unor clase de modele diferentiale din ecologie si mecanica fluidelor”, director lect. dr. Octavian G. Mustafa, finantat de Ministerul Educatiei si Cercetarii, in derulare in anul 2007

         Mobilitati:

1) Mobilitate individuala, GRUNDTVIG LLP Program, GRU-11-MOF-35-DJ-AT

Titlu: Multimedia and Interactivity in E-Learning

European Initiative for Education, H.O. Staglgasse 13,  Wiener Neustadt 2700, Austria,

Perioada: 28.06.2011-02.07.2011, valoare 1798 euro

2) Mobilitate individuala de cercetare, ERASMUS LLP Program-University of Craiova,

Titlu: Algebraic and Geometric Methods in Applied  Informatics,

Department on Applied Informatics, University of Macedonia, Thessaloniki,

Egnatia street 156, P.O. Box 1591, Thessaloniki 54006, Greece

Perioada: 26.09.2011-30.09.2011, valoare 600 euro

3) Mobilitate individuala de cercetare, ERASMUS LLP Program-University of Craiova,

Titlu: Algebraic and Geometric Methods in Applied  Informatics,

Department on Applied Informatics, University of Macedonia, Thessaloniki

Egnatia street 156, P.O. Box 1591, Thessaloniki 54006, Greece

Perioada: 24.09.2012-28.09.2012, valoare 600 euro

4) Mobilitate individuala de cercetare, EU FP7-PEOPLE-2012-IRSES-316338,

Titlu: Dynamical Systems and Their Applications

WP4: Applications of dynamical systems in Tokamaks. Numerical methods in dynamical systems

Perioada: 01.03.2013-31.03.2013, valoare 1887 euro

Department of Mathematics, Shanghai Jiao Tong University,

Huashan Road 1954, Shanghai 200030, China

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