Senior Researcher

Center for Applied Mathematics and Theoretical Physics,

University of Maribor, Krekova 2, SI-2000, Slovenia.

E-mail: valery.romanovsky@uni-mb.si

Doctor of Physical and Mathematical Sciences.

Field: Differential Equations.

Institute: Institute of Mathematic of National Academy of Science of Belarus, Minsk, Belarus, 2001.

Candidate of Physical and Mathematical Sciences (Ph. D.).

Field: Differential Equations and Mathematical Physics.

Institute: Leningrad State University (now St. Petersburg State University),Leningrad, USSR, 1986.

PhD student: Leningrad State University, 1983-1986.

1990-1991: Principal computer specialist, Building company "Sevosetinstroj", Vladikavkaz, Russia.

1991-1992: Assistant Professor, Department of Mathematics, Minsk Radioengineering Institute, Minsk, Belarus.

1992-2000: Associate Professor, Department of Mathematics, Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus.

1999 (Sept.) - 2000 (Jan.): Associate Professor (part-time) at Belarusian State University, Minsk, Belarus.

2003-2004: Visiting Assistant Professor at the University of North Carolina at Charlotte, USA

2000 - present: Senior Researcher at the Center for Applied Mathematics and Theoretical Physics (CAMTP), University of Maribor, Slovenia

the theory of bifurcations of plane dynamical systems.

Symbolic computation, computational algebra and algebraic geometry.

Hamiltonian systems from the point of view of classical, semiclassical and quantum mechanics.

8th Annual Seminar Nonlinear Phenomena in Complex Systems, Minsk, Belarus, 1999.

The Third International Conference "Differential Equations and Applications",

Saint-Petersburg, Russia, 2000.

Bexbach Colloquium on Science - 2000, Bexbach, Germany, 2000.

European Conference Otocec, Slovenia, 2001.

5th International Summer School/Conference "Let's Face Chaos through Nonlinear Dynamics" (Dedicated to the 75th Birthday of Professor Hermann Haken), Slovenia, 2002

"Difference Equations and Special Functions", Bexbach, Germany, 2002

4th European Advanced Studies Conference, Novacella, Southern Tyrol, Italy, 2003.

"Differential Equations with Symbolic Computation", Beijing, China, 2004.

2nd Shanghai International Symposium on Nonlinear Science and Applications, Shanghai, China, 2005.

6th International Summer School/Conference "Let's Face Chaos through Nonlinear Dynamics" (Dedicated to the 75th Birthday of Professor Siegfried Grossmann), Slovenia, 2005

"Progress on Difference Equations", Homburg, Germany, 2006.

"Formal Theory of Partial Differential Equations and Their Applications", Joensuu, Finland, 2006.

"Groebner Bases in Symbolic Analysis", Linz, Austria, 2006.

Chaos and complex systems, " Novocella, Italy, 2006.

International Conference "Erugin Readings -2007", Minsk, Belarus, 2007

8th Japan - Slovenia Seminar on Nonlinear Science, Maribor, Slovenia, 2007

9th Japan - Slovenia Seminar on Nonlinear Science, Osaka, Japan, 2007

7th International Summer School/Conference "Let's Face Chaos through Nonlinear Dynamics" (Dedicated to the 75th Birthday of Professor Giulio Casati), Maribor, Slovenia, 2008

10th Japan - Slovenia Seminar on Nonlinear Science, Tokyo, Japan, 2008

12th Japan - Slovenia Seminar on Nonlinear Science, Maribor, Slovenia, 2009

Slovenia (1995, 1996, 1997, 1998).

University of Ljubljana, Slovenia (1995, 1996).

Technical University of Denmark (1996).

University of Trieste, Italy (1996,2001).

Carl von Ossietsky Universität Oldenburg, Germany (1997).

Delft University of Technology, the Netherlands (1997).

University of Warsaw, Poland (1998).

Scientific Seminar of Belarusian Mathematical Society, Institute of Mathematics,

Belarusian Academy of Science, Minsk, Belarus (2000).

Nanjing University, China (2000).

Shanghai Jaio Tong University, China (2006,2007).

Shanghai Normal University, China (2007).

University of Vienna, Austria (2008).

University of Linz, Austria (2008).

University of Ljubljana, Slovenia (2009).

Guilin Iniversity of Electonic Technology, China (2009,2010).

Sichuan University, China (2009,2010).

University of Maribor, Center for
Applied Mathematics and Theoretical Physics,

Slovenia, 2 months, 1995.

Technical University of Denmark, 2
weeks, 1996.

University of Wales, Aberystwyth,
UK, one month, 1996.

University of Pisa, Pisa, Italy, 2
weeks, 1996.

University of Maribor, Center for
Applied Mathematics and Theoretical Physics, Slovenia, 2 months, 1997.

Carl von Ossietsky Universität
Oldenburg, Germany, 2 months, 1997.

University of Warsaw, Poland, one
year, 1997-1998.

University of Maribor, Center for
Applied Mathematics and Theoretical Physics, Slovenia, 6 months, 1999.

Nanjing University and Institute of
Mathematics of Chinese Academy of Sciences, China, 2 weeks, 2000

Shanghai Jaio Tong
University, China, 2 months, 2002

Fellowship of the Ministry of Education and Sport of the Republic of Slovenia, 2 months, 1995

Fellowship of DAAD, Germany, 2 months, 1997

Fellowship of the Sniadeccy Foundation, Poland, one year, 1997-1998.

Fellowship of the joint programme of the Ministry of Science and Technology of the Republic of Slovenia and the International Centre for Theoretical Physics (Trieste, Italy), 6 months, 1999.

American Institute of Physics Conference Proceedings, Volume 1076, Proceedings of "Let's Face Chaos Through Nonlinear Dynamics" 7th International Summer School and Conference Maribor, Slovenia, 29 June--July 2008, ISBN: 978-0-7354-0607-0, Marko Robnik and Valery Romanovski (Editors)

Papers in Refereed Journals

X. Chen, V. G. Romanovski (2010) Linearizability conditions of time-reversible cubic systems, Journal of Mathematical Analysis and Applications, v. 362, no. 2, 438-449.Y. Xing, Q. Wang, V. G. Romanovski (2009) Periodic boundary value problem for nonlinear integro-differential equation of mixed type on time scales. Ann. Differential Equations, v. 25, no. 2, 195--207.

V. Levandovskyy, A. Logar and V. G. Romanovski (2009) The cyclicity of a cubic system, Open Systems & Information Dynamics, v. 16, No. 4, 429-439.

J. Gine and V. G. Romanovski (2009) Linearizability conditions for Lotka--Volterra planar complex cubic systems, J. Phys. A: Math. Theor. v 42, no. 22, 225206-225221.

V. Levandovskyy, V. G. Romanovski, D. S. Shafer (2009) The cyclicity of a cubic system with nonradical Bautin ideal, Journal of Differential Equations, v. 246, 1274-1287.

V. G. Romanovski (2008) Time-Reversibility in 2-Dim Systems. Open Systems and Informational Dynamics, V. 15, no. 4, 359-370.

Y. Xing and V. Romanovski (2008) On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions, Boundary Value Problems, vol. 2008. Article ID 864297, doi:10.1155/2008/864297

V. G. Romanovski and D.S. Shafer (2008) On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields, The Bulletin of the Belgian Mathematical Society Simon Stevin, {\bf 15}, no. 5, 871-887.

Y. Xing and V. Romanovsky (2008) On the solvability of boundary value problems for first-order nonlinear integro-differential equations on time scales, Journal of Mathematical Sciences: Advances and Applications, v 1, no.1, 17-36.

Z. Hu, V. G. Romanovski, D. S. Shafer (2008) 1:-3 resonant centers on image with homogeneous cubic nonlinearities Computers \& Mathematics with Applications, v. 56, Issue 8, 1927-1940.

V. G. Romanovski, A. S. Jarrah, R. Laubenbacher. (2008) The Cyclicity Problem for Two-dimensional Polynomial Systems, Differential Equations and Control Processes (Electronic journal, ISSN 1817-2172, \\ http://gamma.niimm.spb.su/diffjournal/j/RU/numbers/2008.2/article.74.html).

Chen X, Romanovski V.G. and Zhang W. (2008) Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities, Nonlinear Analysis: Theory, Methods and Applications, v. 69, no. 5-6, 1525-1539.

Chen X, Romanovski V.G. and Zhang W. (2008) Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities, Nonlinear Analysis: Theory, Methods and Applications, v. 68, No. 9, 2769-2778.

Romanovski, V.G. (2007) Bifurcations of Periodic Points of Some Algebraic Maps. Mathematics in Computer Science, v. 1, no.2, 253-265.

Romanovski, V.G. (2007) Computational Algebra and Limit Cycles Bifurcations in Polynomial Systems. Nonlinear Phenomena in Complex Systems, v. 10, no.1, 79-85

Robnik M. and Romanovski V.G. (2007) The difference equation related to the problem of the hydrogen atom in a strong magnetic field, Electronic Transactions on Numerical Analysis, v.27, 163-176

Romanovski V.G. (2007) Periodic points of some algebraic maps, Electronic Transactions on Numerical Analysis, v.27, 156-162

Doliæanin D., Milovanoviæ G. and Romanovski V.G. (2007) Linearizability conditions for a cubic system Applied Mathematics and Computation, V. 190, 937-945.

Romanovski V.G., Chen X., Hu Z. (2007) Linearizability of linear systems perturbed by fifth degree homogeneous polynomials, J. Phys. A: Math. Theor. 40 No 22 5905-5919

Chouikha A.R., Romanovski V.G. and Chen X. (2007): Journal of Physics A: Mathematical and Theoretical, v.40, 2313-2327

Robnik, M., Romanovski, V.G., Stokmann H.-J. (2006) Exact energy distribution function in a time-dependent harmonic oscillator, J. Phys. A. 39, no. 35, L551-L554.

Cherkas, L., Romanovski, V.G. (2006) The center conditions for a Lienard system. Computers \& Mathematics with Applications, v. 52, 363-374.

Robnik, M., Romanovski, V. (2006) Energy evolution in time-dependent harmonic oscillator. Open Systems & Information Dynamics, v. 13, no.2.

Robnik, M., Romanovski, V. (2006) Exact analysis of adiabatic invariants in the time-dependent harmonic oscillators. J. Phys. A, v. 39, L35-L41.

Cherkas, L., Romanovski, V. (2005) Trivial centers of a cubic systems of Lienard type. Nonlinear Phenom. Complex Syst., v. 8, 89-93.

Dolicanin, D. and Romanovski, V. (2005) Linearizability of a polynomial system. Kragujevac J. Math. v. 28, 165-172.

Romanovski, V. (2003) The linearizable centers of time-reversible polynomial systems. Prog. Theor. Phys., Suppl., no. 150, 243-254.

Romanovski, V. and Han, M. (2003) Critical period bifurcations of a cubic system. J. Phys. A, v. 36, 5011-5022.

Romanovski V.G., Wu Y. H., Christopher C. (2003) Linearizability of three families of cubic systems, Journal of Physics A: Mathematical and General, v. 36, L145-L152

Jarrah A., Laubenbacher R. and Romanovski V. (2003) The Sibirsky component of the center variety of polynomial systems, Journal of Symbolic Computation, v. 35, 577-589.

Robnik, M. and Romanovski, V.G. (2003) Two-dimensional hydrogen atom in a strong magnetic field, J. Phys. A: Math. Gen. V. 36. No 29 7923-7951.

Robnik, M. and Romanovski, V.G. (2002) Atoms in strong magnetic fields: some new analytic results. Nonlinear Phenomena in Complex Systems, v 5, no.4, 445-456

Romanovskii, V.G. and Robnik, M. (2002): Computation of the center isochronism conditions for polynomial systems, Differentsial'nye Uravnenia (in Russian), (2002): Differential Equations, v. 28, no.2, 205-211 ( English translation)

Veble, G., Robnik, M., Romanovski, V. (2002): Semiclassical analysis of Wigner functions. J. Phys. A 35 (2002), no. 18, 4151--4168.

Romanovski, V. and Suba, A. (2001): Centers of some cubic systems, Annals of Differential Equations (China), 17:4, 363-376.

Romanovski, V. and Robnik, M. (2001): The center and isochronicity problems for some cubic systems, Journal of Physics A: Mathematical and General 34, no.47, 10267-10292

Romanovski, V. Robnik, M. and Romanovskaya O. (2001): The isochronicity conditions for some cubic systems, Nonlinear Phenomena in Complex Systems, 4:2, 116-122

Romanovsky, V. and Benediktovich, I. (2001): On Bautin ideal of a cubic map, Applied Mathematics Letters 14, 159-165 .

Romanovski, V. and Robnik, M. (2000): On WKB series for the radial Kepler problem, Nonlinear Phenomena in Complex Systems 3, no.3, 214-219.

Romanovski, V. and Robnik, M. (2000): Exact WKB expansions for some potentials, Journal of Physics A: Mathematical and General 33, 8549-8557.

Robnik, M. and Romanovski, V. (2000): Some properties of WKB series, Journal of Physics A: Mathematical and General 33, 5093-5104.

Robnik, M. and Romanovski, V. (2000): On the semiclasical expansion for 1-dim potentials, Prog. Theor. Phys. Suppl. (Japan). No.139, 399-403.

Romanovskii, V.G. and Scheglova, N.L. (2000): The integrability conditions for two cubic systems, Differentsial'nye Uravnenia, 36, no.1, 94-97 (in Russian).

Cherkas, L.A., Romanovsky, V.G. and Scheglova N.L. (1999): On computing of the limit cycles manifold. Nonlinear Phenomena in Complex Systems 2, no.3, 23-27.

Robnik M. and Romanovski V.G. (1999): On Urabe's criteria of isochronicity. Journal of Physics A: Mathematical and General 32, 1279-1283.

Romanovski V.G. and Rauh A. (1998): Local dynamics of some algebraic maps. Dynamic Systems and Applications, 7, no. 4, 529-552.

Dolichanin, C., Romanovskii V.G. and Stephanovich, M. (1998): Center conditions and cyclicity for some cubic vector fields. Differentsial'nye Uravneniya 34, no.12, 1587-1595 in Russian, to be translated in Differential Equations).

Cherkas L.A., Romanovsky V.G. and Zoadek, H. (1997): The centre conditions for a certain cubic system. Differential Equations and Dynamics Systems 5, no. 3/4, 299-302

Romanovskii, V.G. (1996): On cyclicity of an equilibrium point of certain cubic system, Differentsial'nye Uravneniya 32, no.6, 784-787 (in Russian); (1996): Differential Equations 32, 790-793 (English translation).

Lloyd, N.G., Pearson, J.M. and Romanovsky, V.G. (1996): Computing integrability conditions for a cubic differential system. J. Computers and Mathematics with Applications, 32, no.10, 99-107.

Krapivin, V.A., Romanovskii, V.G. and Selitsky, A.V. (1996): Center conditions for a six-parameter cubic system Differentsial'nye Uravneniya 32, 1707-1709 (in Russian); (1996): Differential Equations 32, 1702-1704 (English translation).

Dolichanin, C., Romanovsky, V.G. and Stefanovich, M. (1996): The center conditions for a class of cubic systems. Math. Bull. Skopje, Macedonia 20, 61-68.

Romanovskii, V.G. (1995): Center conditions for a cubic system with four complex parameters. Differentsial'nye Uravneniya 31, no.6, 1091-1093 (in Russian); (1995): Differential Equations 31, 1023-1026 (English translation).

Romanovskii, V.G. (1993): Calculation of Lyapunov numbers in the case of two pure imaginary roots. Differentsial'nye Uravneniya 29, no.5, 910-912 (in Russian); (1993): Differential Equations 29, no.5, 782-784 (English translation).

Romanovskii, V.G. (1992): Basis of an ideal generated by Lyapunov quantities. Differentsial'nye Uravneniya 28, no.4, 618-627 (in Russian); (1992): Differential Equations, 28, no.4, 501-509 (English translation).

Romanovskii, V.G. (1991): Properties of the ideal generated by Lyapunov values. Differentsial'nye Uravneniya 27, no.2, 207-219 (in Russian); (1991): Differential Equations, 27, no.2, 141-150 (English translation).

Romanovskii, V.G. (1988): Finiteness of the number of limit cycles of a quadratic system. Differentsial'nye Uravneniya 24, no.11, 1904-1911 (in Russian); (1988): Differential Equations, 24, no.11, 1271-1277 (English translation).

Romanovskii, V.G. (1987): On the number of limit cycles in a quadratic system, Vestnik Leningrad Univ. Mat. Mekh. Astronom. 20, no.2, 129-130 (in Russian).

Romanovskii, V.G. (1986): On the cyclicity of the equilibrium position of the center or focus type of a certain system, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 19, no.4, 82-87 (in Russian); (1986): Vestnik Leningrad Univ. Math. 19, no.4, 51-56 (English translation).

Romanovskii, V.G. (1986): On compound cycles of quadratic system, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 19, no.3, 115-116 (in Russian); (1986): Vestnik Leningrad Univ. Math. 19, no.3, 87-88 (English translation).

Papers in Edited Volumes

M. Robnik and V. Romanovski, Complex Phenomena in Nanoscale Systems
Proceedings of the NATO Advanced Research Workshop on Recent Advances in Nonlinear Dynamics and Complex System Physics: From Natural to Social Sciences and Security Tashken, Uzbekistan 12-17 October 2008
Series: NATO Science for Peace and Security Series
Subseries: NATO Science for Peace and Security Series B: Physics and Biophysics,
ISBN: 978-90-481-3118-1 (Editors: G. Casati and D. Matrasulov).
2009, 65-80

M. Robnik and V. Romanovski,
Energy evolution and exact analysis of the adiabatic invariants in time-dependent linear oscillator, AIP Conference Proceedings, Volume 1076,
Proceedings of
"Let's Face Chaos Through Nonlinear Dynamics" 7th International Summer School and Conference
Maribor, Slovenia, 29 June--July 2008
ISBN: 978-0-7354-0607-0,
(Editors: M. Robnik and
V. Romanovski), 185-212

Zh. Kadyrsizova and V. Romanovski,
Linearizability of 1:-3 resonant system with homogeneous cubic
nonlinearities. V: ISSAC 2008 : International Symposium on Symbolic
and Algebraic Computation, 20-23 July 2008, Hagenberg, Austria.
New York: The Association for Computing Machinery, 2008, pp. 255-260.

Romanovski, V. and Shafer, D. (2005)
Time-reversibility in two-dimensional polynomial
systems. In:
Wang, Dongming, Zheng, Zhiming (Eds.).
Differential equations with
symbolic computations, (Trends in mathematics). Basel; Boston: Birkhauser, 67-83.

Romanovski, V., Suba, A. (2000):
On Bautin ideal of the quadratic system.
Proceedings of the Third International Conference "Differential Equations and Applications" (St. Petersburg, 2000), 21--25,
Math. Res. (St. Petersburg), 7,
Izd. St.-Peterbg. Gos. Tekh. Univ., St. Petersburg.

Dolichanin, C., Romanovskii, V.G.
and Stephanovich, M. (1997): An example of applying of a method focus quantities
to investigate the cyclicity problem. Proceedings of the 5th Annual Seminar
Nonlinear Phenomena in Complex Systems, 12-15 February 1996, Minsk, Belarus.
In: Advances in Synergetics (Eds. Kuvshinov, V.I. and Krylov, G.G.), vol. 8,
Institute of Physics, Minsk, 223-228.

Romanovskii, V.G. (1995): On the center
conditions for some cubic systems, Proceedings of the Third Annual Seminar Nonlinear
Phenomena in Complex Systems, 14-16 February 1994, Polatsk, Belarus. In: Advances
in Synergetics (Eds. Kuvshinov, V.I. and Krylov, G.G.), vol. 2, Institute of
Physics, Minsk, 116-117.
Cherkas, L.A. and Romanovski, V.G.
(1994): An experience of studying non-linear oscillations in radioengineering
university. Proceedings of the Conference "Teaching Mathematics for Industry",
September 18-20, 1994, Prague, Czech Republic, 33-44.

Romanovskii, V.G. (1993): On the cyclicity
of the equilibrium point of certain cubic systems. Proceedings of the Second
Annual Seminar "Nonlinear Phenomena in Complex Systems", February,
1993, Polatsk, Belarus, 32-39.

Others

Romanovskii, V.G. (2000): The center-focus
problem and small limit cycles bifurcations for analytic dynamical systems,
Doctor of Science thesis, Institute of Mathematics, National Academy of Science
of the Republic of Belarus, 210 pp. (in Russian).

Romanovskii, V.G. (1986): On the number
of limit cycles of a second order system of differential equations, PhD thesis,
Leningrad State University, Leningrad, 89 pp. (in Russian).

Romanovskii, V.G. (1986): On cycles
of quadratic systems, Leningrad. Deposited in the All-Union Institute of Scientific
and Technical Information on April 14,1986 at no.2672-B Dep. (in Russian).

Klimova, T., Knyazeva, L., Krachkovsky,
A., Romanovsky, V., Sakol'chyk, P., Shloma, L., Shylkin, U. (1994): A collection
of problems on higher mathematics, Minsk Radioengineering Institute, Minsk,
93 pp. (in Belarusian).