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Nikolay Kolev Vitanov

Position: Full Professor

Department: Fluid Mechanics

Room number: 116

Phone: +359 2 979 6416

E-mail: vitanov@imbm.bas.bg

 

Scientific degrees, institution, year:
  • Ph. D, University of Sofia, Bulgaria, 1994
  • Dr. rer. Nat., University of Bayreuth, Germany, 1998
  • D. Sc., Bulgarian Academy of Sciences (VAK), 2007

 

Fields of Research:

  • Fluid mechanics
  • Theory of nonlinear waves
  • Theory of dynamical systems
  • Nonlinear time series analysis
  • Mmathematical social dynamics
  • Mmathematical economics

 

Extended Information

Full information about publications and citations:

https://scholar.google.bg/citations?user=lwklmyEAAAAJ&hl=en

 

Selected Publications (2011-2016):

1.) Science dynamics and research production. Indicators, indexes, statistical laws and
mathematical models. Springer International, Switzerland (2016)
by Nikolay K. Vitanov
by Nikolay K. Vitanov and Kaloyan N. Vitanov
Mathematical Social Sciences, 80, 108-114 (2016)
3.) Modified method of simplest equation for obtaining exact analytical
solutions of nonlinear partial differential equations. Further development of
the methodology with applications.
by Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
Applied Mathematica and Computation, 269, 363 - 378 (2015)

Publications till 2010

1.) On the way to success: The Institute of Mechanics of BAS was awarded as the most innovative
research organization in Bulgaria for  2009.
by  Nikolay K. Vitanov

Journal of the Bulgarian Academy of Sciences, 78,  No. 2, 83 - 85 (2010).

2.) Modified method of simplest equation and its application to nonlinear PDEs.
by Nikolay K. Vitanov, Zlatinka I. Dimitrova and Holger Kantz

Applied Mathematics and Computation, 216, 2587 - 2595 (2010).

3.) Application of the method of simplest equation for obtaining exact traveling-wave solutions for
two classes of model PDEs from ecology and population dynamics.
by Nikolay K. Vitanov and Zlatinka I. Dimitrova
Communications in Nonlinear Science and Numerical Simulation, 15, 2836 - 2845 (2010).

 

4.) Science in the service of the government politics: What the time series analysis tells us about
the present and future economic situation of the Bulgarian scientists.
by Nikolay K. Vitanov and Kim Gol
Journal of the Bulgarian Academy of Sciences, 78, No. 1, 68 - 70 (2010).

 

5.) Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions
for a class of PDEs with polynomial nonlinearity.
by Nikolay K. Vitanov
Communications in Nonlinear Science and Numerical Simulation, 15, 2050 - 2060 (2010).

 

6.) Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer
by Nikolay K. Vitanov
European Physical Journal B, 73, 265 - 273 (2010).

 

7.) Bounds for heat transport for convection in rotating fluid layer.
by Nikolay K. Vitanov
Journal of Theoretical and Applied Mechanics, 39, No. 4, 11 - 20 (2009).

 

8.) On nonlinear dynamics of interacting populations: Coupled kink waves in a system of two populations
by Nikolay K. Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova

Communications in Nonlinear Science and Numerical Simulation, 14,  2379-2388 (2009).

9.) Bounds on heat transport for thermal convection in rapidly rotating fluid layer.
by Nikolay K. Vitanov

Compt. rend. Acad. bulg. Sci., 62, Nr. 6, 709 - 716 (2009).

10.) The elite and its educaton
by Nikolay K. Vitanov

Science (Sofia), 19, Nr. 2, 73 - 75 (2009).

11.) Spatiotemporal Symmetry and Multifractal Structure of Head Movements during Dyadic Conversation.
by Kathleen T. Ashenfelter, Steven Boker, Jennifer R. Waddell, Nikolay K. Vitanov

Journal of Experimental Psychology: Human Perception and Performance, 35, 1072 - 1091 (2009).

12.) Optimum theory of turbulence: ideas, methods and results
by Nikolay K. Vitanov

Journal of Theoretical and Applied Mechanics, 39 Nr. 3, 31 - 62 (2009).

13.) Career development and mobility of the scientists - current state, needs and necessary conditions
by Nikolay K. Vitanov
p.p. 156 - 167 in Speeches of the national Forum for the Science, Sofia, 27 - 29.04. 2009,

Union of Scientists in Bulgaria, Sofia (2009).

14.) On nonlinear population waves
by Nikolay K. Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova

Applied Mathematics and Computation, 215, 2950 - 2964 (2009).

15.) On probability for rogue waves in the North Sea.
by Nikolay  Vitanov and  Norbert Hoffmann ,  Compt. rend. Acad. bulg. Sci.  62, Nr. 2, 185-191 (2009).

16.) Differentiation and integration of the scientific knowledge on the border between natural and social sciences: new scientific branches.
by Nikolay K. Vitanov Science (Sofia), 18, Nr. 3, 33-36 (2008).

17.) Mathematical models of intergroup conflicts.
by S. Panchev and Nikolay K. Vitanov Compt. rend. Acad. bulg. Sci. 61 Nr. 8, 993-1002 (2008).

18.) Generalization of the model of conflict between two armed groups.
by Nikolay K. Vitanov and S. Panchev. Compt. rend. Acad. bulg. Sci. 61,  N r.9, 1121-1126 (2008).

19.) Social dynamics without formulas - 360 pages
by N. K. Vitanov, Z. I. Dimitrova, S. Panchev. Prof. Mardin Drinov Academic Publishing House of the Bulgarian Academy of Sciences, Sofia (2008)

20.) SSA, PCA, TDPSC, ACFA: Useful combination of methods for analysis of short and nonstationary time series
by Nikolay K. Vitanov, K. Sakai and Z. I. Dimitrova Chaos Solitons & Fractals 38, 187-202 (2008)

21.) Short time prediction of wind speeds from local measurements
by H. Kantz, D. Holstein, M. Ragwitz and N. K. Vitanov Chapter 16 (p.p. 93-98) in J. Peinke, P. Schaumann, S. Barth (eds) Wind Energy, Springer, Berlin (2007)

22.) On the Bulgarian scientific system
by N. K. Vitanov, Z. Dimitrova and S. Panchev Science (Sofia) 17, Nr. 6, 64-69 (2007)

23.) Shall we survive?
by N. K. Vitanov Science (Sofia) 17, Nr. 5, 3-7 (2007)

24.) Analysis of a Japan government intervention on the domestic agriculture market
by N. K. Vitanov, K. Sakai, I. P. Jordanov, S. Managi, K. Demura Physica A 382, 330-335 (2007) .

25.) Physics and social dynamics
by N. K. Vitanov Physics (Sofia) 32, 71-76 (2007)

26.) The Matrix
by N. K. Vitanov Science (Sofia) 17, 34-37 (2007)

27.) Analytical and numerical investigation of two Lorenz-like dynamical systems
by S. Panchev, T. Spassova and Nikolay K. Vitanov Chaos Solitons & Fractals 33, 1658-1671 (2007)

28.) Transition of chaotic motion to limit cycle by intervention of economic policy: An empirical analysis
by K. Sakai, S. Managi, Nikolay K. Vitanov and K. Demura Nonlinear Dynamics, Psychology and Life Sciences 11, 253-265 (2007).

29.) On the trap of extinction and its elimination
by Nikolay K. Vitanov, Zlatinka I. Dimitrova and H. Kantz Phys. Lett. A 346, 350-355 (2006)

30.) Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila melanogaster
by Nikolay K. Vitanov and Elka D. Yankulova Chaos, Solitons & Fractals 28, 768-775 (2006)

31.) How Bulgarian Scientists cope with the EU research systems- problems and opportunities
by Nikolay K. Vitanov Science (Sofia) 16, N1, p.p. 18-23 (2006)

32.) The Empire of knowledge I: The scientific politics of Japan
by Nikolay K. Vitanov Science (Sofia) 16, N 3, 12-21 (2006)

33.) The Empire of knowledge II: Reforms in the system of science and technology in Japan
by Nikolay K. Vitanov Science (Sofia) 16, N4, 14-24 (2006)

34.) Hoelder-exponent-MFDFA-based test for long-range correlations in pseudorandom sequences
by Nikolay K. Vitanov, Khristo Tarnev and Holger Kantz Journal of Theoretical and Applied  Mechanics 36, N 2, 47-64 (2006)

35.) Application of physics methods to social phenomena

by Nikolay K. Vitanov, Z. I. Dimitrova, I. P. Jordanov p.p. 123 - 128 in Advances of physics and astrophysics of the 21 st century. edited by I. Zhelyazkov, Heron Press, Sofia (2006)

36.) Upper bound on the heat transport in a heated from below fluid layer
by Nikolay K. Vitanov p.p. 37 - 40 in J. Peinke, A. Kittel, S. Barth, M. Oberlack (eds.) Progress in Turbulence (Springer, Berlin) (2005).

37.) Predicting probability for stochastic processes with local Markov property
by Holger Kantz, Detlef Holstein, Mario Ragwitz and Nikolay K. Vitanov p.p. 95-98 in J. Peinke, A. Kittel, S. Barth, M. Oberlack (eds.) Progress in Turbulence (Springer, Berlin), (2005).

38.) Shilnikov chaos in a generalized system for modeling dynamics of competing populations
by Zlatinka I. Dimitrova and Nikolay K. Vitanov Proceedings of the Bulgarian Academy of Sciences 58, N 3, 257-264 (2005).

37.) Investigation of Alexander's law in the human caloric nystagmus: First results
by Stefan Hegemann, Anja Kusterer, Nikolay K. Vitanov, Veneta Todorova Proceedings of the Bulgarian Academy of Sciences 58, N 4, 457-462 (2005)

40.) Challenges to contemporary physics: Econophysics and sociophysics
by Nikolay K. Vitanov, Zlatinka I. Dimitrova, Stoicho Panchev Science (Sofia) 15, N2, 13-23 (2005).

41.) Population dynamics and national security - 151 pages
by Nikolay K. Vitanov, Zlatinka I. Dimitrova and Stoicho Panchev. Prof. Marin Drinov Publishing House of the Bulgarian Academy of Sciences, Sofia (2005)

42.) On correlations and fractal characteristics of time series
by Nikolay K. Vitanov, Kenshi Sakai, Elka D. Yankulova Journal of Theoretical and Applied Mechanics 35, N2, 73-90 (2005).

43.) Numerical upper bounds on convective heat transport in a layer of fluid of finite Prandtl number. Confirmation of Howard's analytical single-wavenumber bound
by Nikolay K. Vitanov Physics of Fluids 17, Article Number 105106 (2005)

 

44.) Asymptotic properties of some complex Lorenz systems
by S. Panchev and Nikolay K. Vitanov Journal of Calcutta Mathematical Society 1 181-190 (2005)

45.) Upper bounds on the turbulent convective heat transport in a rotating fluid layer
by Nikolay K. Vitanov and Friedrich F. Busse in Ivanov Ya. , Manoach E., Kazandjiev R.(eds.)  Proceedings of the X-th jubilee congress on theoretical and applied mechanics,Varna, Bulgaria, 13-16.09.2005, Vol. 1, p.p. 618-623 (2005)

46.) On the Alexander's law in the human caloric nystagmus
by Nikolay K. Vitanov, Veneta Todorova, Stefan Hegamann and Anja Kusterer in Ivanov Ya., Manoach E., Kazandjiev R. (eds.) Proceedings of the X-th jubilee congress on theoretical and applied mechanics, Varna, Bulgaria, 13-16.09.2005, Vol. 2, p.p. 207 - 212 (2005)

47.) On the nonlinear dynamics of agent systems: Case of competing populations
by Zlatinka I. Dimitrova, Nikolay K. Vitanov and Ivan P. Jordanov in Ivanov Ya. , Manoach E., Kazandjiev R. (eds.) Proceedings of the X-th jubilee congress on theoretical and applied mechanics, Varna, Bulgaria, 13-16.09.2005, Vol. 1, p.p. 41-46 (2005)

48.) Extreme events in surface wind: Predicting turbulent gusts
by H. Kantz, D. Holstein, M. Ragwitz and Nikolay K. Vitanov p.p. 315-324 in Experimental chaos, eds. S. Boccaletti, B. J. Gluckman, J. Kurths, L. M. Pecora, R. Meucci, O. Yordanov. American Institute of Physics, Conference Proceedings 742, Meliville, New York (2004).

49.) Chaotic pairwise competition
by Z. I. Dimitrova and Nikolay K. Vitanov Theoretical Population Biology 66, 1-12 (2004).

50.) Markov chain model for turbulent wind speed data
by H. Kantz, D. Holstein, M. Ragwitz and Nikolay K. Vitanov Physica A 342,. 315-321 (2004).

51.) Convective heat transport in a rotating fluid layer of infinite Prandtl number: optimum fields and upper bounds on Nusselt number
by Nikolay K. Vitanov Phys. Rev. E 67, Article Number 026322 (2003)

52.) Upper bounds on the numbers of significant degrees of freedom of noise influenced oscillations of moving machines
by Nikolay K. Vitanov and K. Sakai Systems Analysis Modelling Simulation (SAMS) 43, 815-828 (2003)

53.) On the optimum fields in rotating systems with heat convection
by Nikolay K. Vitanov Proceedings of the Bulgarian Academy of Science 56 , N2, 31-36 (2003)

54.) On some properties of the point correlation dimension
by Nikolay K. Vitanov and E. Yankulova Proceedings of the Bulgarian Academy of Sciences 56, N2, 25-30 (2003)

55.) Dynamical properties of nystagmus
by Nikolay K. Vitanov and V. Todorova Proceedings of the Bulgarian Academy of Sciences 56, N 1, 25-30 (2003)

56.) Population dynamics and its unexpected applications
by Zlatinka I. Dimitrova and Nikolay K. Vitanov Science (Sofia), 12, N5, 27-31 (2002)

57.) The power of science
by Nikolay K. Vitanov Science (Sofia) 12, N4, 22-26 (2002).

58.) Topological analysis of the chaotic behavior of Shinriki oscillator
by Nikolay K. Vitanov, M. Siefert and J. Peinke Proceedings of the Bulgarian Academy of Sciences 55, N 9, p.p. 31-36 (2002).

59.) Low-dimensional chaos in zero-Prandtl-number Benard-Marangoni convection
by T. Boeck and Nikolay K. Vitanov Phys. Rev. E 65, Article Number 037203 (2002).

60.) Dynamical analysis of a noise influenced Shinriki oscillator
by Nikolay K. Vitanov, M. Siefert, J. Peinke Proceedings of the Bulgarian Academy of Sciences 55, N 7, 15-20 (2002)

61.) Upper bounds on the convective heat transport in a rotating fluid of infinite Prandtl number: Case of large Taylor numbers
by Nikolay K. Vitanov European Phys. Journ. B 23, 249-266 (2001)

62). Adaptation and its impact on the dynamics of a system of three competing populations
by Z. I. Dimitrova and Nikolay K. Vitanov Physica A 300, 91-115 (2001)

63.) Dynamical consequences of adaptation of the growth rates in a system of three competing populations
by Z. I. Dimitrova and Nikolay K. Vitanov J. Phys A: Math. Gen 34, 7459-7473 (2001)

64.) Bounds on the convective heat transport in a rotating layer
by Nikolay K. Vitanov and F.H. Busse Phys. Rev. E 63 , 016303 (2001)

65.) Upper bounds on the convective heat transport in a rotating fluid of infinite Prandtl number: case of intermediate Taylor numbers
by Nikolay K. Vitanov Phys. Rev. E 62, 3581-3591 (2000)

66.) Influence of adaptation on the nonlinear dynamics of a system of competing populations
by Z. I. Dimitrova and Nikolay K. Vitanov Phys. Lett A 272, 368-380 (2000)

67.) Upper bound on the heat transport in a layer of fluid of infinite Prandtl number, rigid lower boundary, and stress-free upper boundary
by Nikolay K. Vitanov Phys. Rev. E 61, 956-959 (2000)

68.) Bounds on the turbulent heat transport in a porous medium
by Nikolay K. Vitanov Physica D 136, 322-339 (2000)

69.) Convective heat transport in a fluid layer of infinite Prandtl number: upper bounds for the case of rigid lower boundary and stress-free upper boundary.
by Nikolay K. Vitanov European Phys. Journal B 15, 349-355 (2000)

70.) Bounds on energy dissipation in turbulent shear flow under the action of rotation
by N.P. Hoffmann and Nikolay K. Vitanov Physics Letters A 255, 277-286 (1999)

71.) Breather and soliton wave families for the sine-Gordon equation
by Nikolay K. Vitanov Proc. Roy. Soc. London A 454, 2409-2423 (1998)

72.) Bounds for turbulent convection
by Nikolay K. Vitanov and F.H. Busse Journal of Applied Mathematics and Mechanics (ZAMM) 78, S787-S788 (1998)

73.) Complicated exact solutions to the 2+1-dimensional sine-Gordon equation
by Nikolay K. Vitanov Journal of Applied Mathematics and Mechanics (ZAMM) 78, S789-S790 (1998)

74.) Upper bound on the heat transport in a horizontal fluid layer of infinite Prandtl number
by Nikolay K. Vitanov Physics Letters A 248, 338-346 (1998)

75.) Upper bounds on heat transport in a horizontal fluid layer with stress-free boundaries
by Nikolay K.Vitanov and F.H. Busse Journal of Applied Mathematical Physics (ZAMP) 48, 310-324 (1997)

76.) On the solitary waves in the sine-Gordon model of the two-dimensional Josephson junction
by Nikolay K. Vitanov and N.K. Martinov Zeitschrift fuer Physik B: Cond. Matt. 100, 129-135 (1996)

77.) On traveling waves and double-periodic structures in two-dimensional sine-Gordon systems
by Nikolay K. Vitanov J. Phys. A: Math. Gen. 29 , 5195-5207 (1996)

78.) New class of running-wave solutions of the 2+1-dimensional sine-Gordon equation
by N. Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 27 , 4611-4618 (1994)

79.) On the self-consistent thermal equilibrium structures in two-dimensional negative-temperature systems
by N. Martinov and Nikolay K. Vitanov Canadian Journal of Physics 72, 618 -624 (1994)

80.) Analysis of the standing-wave solutions of the one-dimensional sine-Gordon equation
by N. Martinov and Nikolay K. Vitanov Bulgarian Journal of Physics 19, 48-56 (1992)

81.) Running-wave solutions of the two-dimensional sine-Gordon equation
by N.Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, 3609-3613 (1992)

82.) On some solutions of the two-dimensional sine-Gordon equation
by N. Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, L419 - L426 (1992)

83.) On the correspondence between the self-consistent 2D Poisson-Boltzmann structures and the sine-Gordon waves

by N.Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, L51-L56 (1992)

 

Recent Projects:

  • National Scientific Program Information and communication technologies for a single digital market in science,    education and security 2019 -
  • Center of Excellence Mechatronics and Clean Technologies 2018 –
  • COST CA15109 COSTNET  Cooperation for statistics of network data science 2015-
  • COST CA16228 GAMENET European network for game theory 2016 -
  • COST MP0801 Physics of Competition and Conflict (European Science Foundation): Member of the Managing  Committee from Bulgaria, 2008-2012
  • COST MP0806 Turbulence and Particles (European Science Foundation): Member of the Managing Committee  from Bulgaria, 2008-2012
  • DO 02/338 Variational methors in fluid mechanics (NSF of Republic of Bulgraia) 2008-2011, participant
  • COST P10 Physics of Risk (European Science Foundation): Member of the Managing Committee from   Bulgaria, 2004-2008
  • MM1201/02 (NSF of Republic of Bulgaria): Extraction of information from time series, 2002-2005 – Head of  the Project

 

Membership:

  • Society for industrial and applied mathematics (SIAM)
  • Union of Bulgarian Scientists

  • Union of Bulgarian Mathematicians

  • Union of Bulgarian Physicists

  • Alexander von Humboldt Union

 

Honors:

  • First degree award of the NSF of Republic of Bulgaria for achievements of MM1201/02
  • Award of  the Union of Bulgarian Scientists for best scientific achievements for 2008, 2017
  • DAAD Fellow
  • Alexander von Humboldt Fellow
  • Fellow of the Max Planck Society for Development of Science
  • Fellow of the Japan Society for the Promotion of Science

 

Home page 

http://www.imbm.bas.bg/index.php/en_US/research-fields/fluid-mechanics/vitanov

Modified date:22-02-2019