International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.

Răzvan M. Tudoran

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Associate Professor, West University of Timişoara, Faculty of Mathematics and Computer Science, Department of Mathematics, Romania

Research Areas

dynamical systems; mathematical physics

Education

2005Ph.D. Mathematics École Polytechnique Fédérale de Lausanne, Switzerland

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  R. M. Tudoran, A. Girban. On the completely integrable case of the Rössler system . Journal of Mathematical Physics, Vol. 53, Issue 5, p. 052701, 2012.
[2]  P. Birtea, R. M. Tudoran. Non-Noether conservation laws. International Journal of Geometric Methods in Modern Physics, Vol. 9, Issue 4, p. 1220004, 2012.
[3]  R. M. Tudoran. On a class of three dimensional quadratic Hamiltonian systems. Applied Mathematics Letters, In press, 2012.
[4]  R. M. Tudoran, A. Girban. On a Hamiltonian version of a three-dimensional Lotka-Volterra system. Nonlinear Analysis - Real World Applications, Vol. 13, Issue 5, pp. 2304-2312, 2012.
[5]  R. M. Tudoran. A normal form of completely integrable systems. Journal of Geometry and Physics, Vol. 62, Issue 5, pp. 1167-1174, 2012.
[6]  C. Daniasa, A. Girban, R. M. Tudoran. New aspects on the geometry and dynamics of quadratic Hamiltonian systems on (so(3))*. International Journal of Geometric Methods in Modern Physics, Vol. 8, Issue 8, pp. 1695-1721, 2011.
[7]  R. M. Tudoran, A. Girban. On the Hamiltonian dynamics and geometry of the Rabinovich system. Discrete and Continuous Dynamical Systems-Series B, Vol.15, Issue 3, pp. 789-823, 2011.
[8]  R. M. Tudoran, A. Girban. Bi-Hamiltonian structure of the Kawachi equations. International Journal of Geometric Methods in Modern Physics , Vol. 7, Issue 4, pp. 625-629, 2010.
[9]  R. M. Tudoran, A. Girban. A Hamiltonian look at the Rikitake two-disk dynamo system. Nonlinear Analysis-Real World Applications , Vol. 11, Issue 4, pp. 2888-2895 , 2010.
[10]  R. M. Tudoran, R. A. Tudoran. On a large class of three-dimensional Hamiltonian systems. Journal of Mathematical Physics , Vol. 50, Issue 1, 2009.
[11]  R. M. Tudoran, A. Aron, S. Nicoara. On a Hamiltonian Version of the Rikitake System. SIAM Journal on Applied Dynamical Systems , Vol. 8, Issue 1, pp. 454-479, 2009.
[12]  R. M. Tudoran, R. A. Tudoran. On 3D Hamiltonian systems via Darboux-Weinstein coordinates. International Journal of Geometric Methods in Modern Physics , Vol. 6, Issue 3, pp. 451-459, 2009.
[13]  P. Birtea, M. Puta, R. M. Tudoran. Some remarks on the dynamics and geometry of an underwater vehicle. International Journal of Geometric Methods in Modern Physics , Vol. 5, Issue 6, pp. 831-849, 2008.
[14]  M. Puta, R. Tudoran, R. M. Tudoran, M. Boleantu. Some remarks on the Herrera-Hojman system. International Journal of Geometric Methods in Modern Physics , Vol. 4, Issue 6, pp. 919-925, 2007.
[15]  P. Birtea, M. Puta, R. M. Tudoran. Some remarks on the dynamics of the underwater vehicle. Bulletin Des Sciences Mathematiques , Vol. 131, Issue 7, pp. 601-612, 2007.
[16]  P. Birtea, M. Puta, R. M. Tudoran. Periodic orbits in the case of a zero eigenvalue. Comptes Rendus Mathematique , Vol 334, Issue 12, pp. 779-784, 2007.
[17]  P. Birtea, M. Puta, R. Tudoran, C. Voicu. Controllability problems in the charged top dynamics. Systems & Control Letters , Vol. 56, Issue 7-8, pp. 512-515, 2007.
[18]  P. Birtea, M. Boleantu, M. Puta, R. M. Tudoran. Asymptotic stability for a class of metriplectic systems. Journal of Mathematical Physics , Vol. 48, Issue 8, 2007.
[19]  A. Aron, P. Birtea, M. Puta, P. Susoi, R. Tudoran. Stability, periodic solutions and numerical integration in the Kowalevski top dynamics. International Journal of Geometric Methods in Modern Physics , Vol. 3, Issue 7, pp. 1323-1330, 2006.
[20]  P. Birtea, M. Puta, T. S. Ratiu, R. M. Tudoran. On the symmetry breaking phenomenon. International Journal of Geometric Methods in Modern Physics , Vol. 3, Issue 4, pp. 697-718, 2006.
[21]  T. S. Ratiu, R. Tudoran, L. Sbano, E. Sousa Dias, G. Terra. Chapter II: A Crash Course in Geometric Mechanics. In London Mathematical Society Lecture Note Series, Vol. 306, J. Montaldi, T. S. Ratiu (eds.), Geometric Mechanics and Symmetry: the Peyresq Lectures , pp. 23-156. Cambridge University Press, 2005.
[22]  P. Birtea, M. Puta, T. S. Ratiu, R. Tudoran. Symmetry breaking for toral actions in simple mechanical systems. Journal of Differential Equations , Vol. 216, Issue 2, pp. 282-323, 2005.
[23]  M. Puta, R. Tudoran. Controlability, stability and the n-dimensional Toda lattice. Bulletin Des Sciences Mathematiques , Vol. 126, Issue 3, pp. 241-247, 2002.
[24]  P. Birtea, M. Puta, T. S. Ratiu, R. Tudoran. A short proof of chaos in an atmospheric system. Physics Letters A, Vol. 300, Issue 2-3, pp. 189-191, 2002.