Nikolay Kolev Vitanov

Position: Full Professor 
Department: Fluid Mechanics 

Room number: 116 

Phone: +359 2 979 6416 

Email: vitanov@imbm.bas.bg 



Scientific degrees, institution, year: 

Fields of Research: 

Extended Information
Full information about publications and citations: https://scholar.google.bg/citations?user=lwklmyEAAAAJ&hl=en
Selected Publications (20112016):
17.) Mathematical models of intergroup conflicts.
by S. Panchev and Nikolay K. Vitanov Compt. rend. Acad. bulg. Sci. 61 Nr. 8, 9931002 (2008).
18.) Generalization of the model of conflict between two armed groups.
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, 187202 (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. 9398) 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, 6469 (2007)
23.) Shall we survive?
by N. K. Vitanov Science (Sofia) 17, Nr. 5, 37 (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, 330335 (2007) .
25.) Physics and social dynamics
by N. K. Vitanov Physics (Sofia) 32, 7176 (2007)
26.) The Matrix
by N. K. Vitanov Science (Sofia) 17, 3437 (2007)
27.) Analytical and numerical investigation of two Lorenzlike dynamical systems
by S. Panchev, T. Spassova and Nikolay K. Vitanov Chaos Solitons & Fractals 33, 16581671 (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, 253265 (2007).
29.) On the trap of extinction and its elimination
by Nikolay K. Vitanov, Zlatinka I. Dimitrova and H. Kantz Phys. Lett. A 346, 350355 (2006)
30.) Multifractal analysis of the longrange correlations in the cardiac dynamics of Drosophila melanogaster
by Nikolay K. Vitanov and Elka D. Yankulova Chaos, Solitons & Fractals 28, 768775 (2006)
31.) How Bulgarian Scientists cope with the EU research systems problems and opportunities
by Nikolay K. Vitanov Science (Sofia) 16, N1, p.p. 1823 (2006)
32.) The Empire of knowledge I: The scientific politics of Japan
by Nikolay K. Vitanov Science (Sofia) 16, N 3, 1221 (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, 1424 (2006)
34.) HoelderexponentMFDFAbased test for longrange correlations in pseudorandom sequences
by Nikolay K. Vitanov, Khristo Tarnev and Holger Kantz Journal of Theoretical and Applied Mechanics 36, N 2, 4764 (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. 9598 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, 257264 (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, 457462 (2005)
40.) Challenges to contemporary physics: Econophysics and sociophysics
by Nikolay K. Vitanov, Zlatinka I. Dimitrova, Stoicho Panchev Science (Sofia) 15, N2, 1323 (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, 7390 (2005).
43.) Numerical upper bounds on convective heat transport in a layer of fluid of finite Prandtl number. Confirmation of Howard's analytical singlewavenumber 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 181190 (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 Xth jubilee congress on theoretical and applied mechanics,Varna, Bulgaria, 1316.09.2005, Vol. 1, p.p. 618623 (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 Xth jubilee congress on theoretical and applied mechanics, Varna, Bulgaria, 1316.09.2005, 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 Xth jubilee congress on theoretical and applied mechanics, Varna, Bulgaria, 1316.09.2005, Vol. 1, p.p. 4146 (2005)
48.) Extreme events in surface wind: Predicting turbulent gusts
by H. Kantz, D. Holstein, M. Ragwitz and Nikolay K. Vitanov p.p. 315324 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, 112 (2004).
50.) Markov chain model for turbulent wind speed data
by H. Kantz, D. Holstein, M. Ragwitz and Nikolay K. Vitanov Physica A 342,. 315321 (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, 815828 (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, 3136 (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, 2530 (2003)
55.) Dynamical properties of nystagmus
by Nikolay K. Vitanov and V. Todorova Proceedings of the Bulgarian Academy of Sciences 56, N 1, 2530 (2003)
56.) Population dynamics and its unexpected applications
by Zlatinka I. Dimitrova and Nikolay K. Vitanov Science (Sofia), 12, N5, 2731 (2002)
57.) The power of science
by Nikolay K. Vitanov Science (Sofia) 12, N4, 2226 (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. 3136 (2002).
59.) Lowdimensional chaos in zeroPrandtlnumber BenardMarangoni 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, 1520 (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, 249266 (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, 91115 (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, 74597473 (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, 35813591 (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, 368380 (2000)
67.) Upper bound on the heat transport in a layer of fluid of infinite Prandtl number, rigid lower boundary, and stressfree upper boundary
by Nikolay K. Vitanov Phys. Rev. E 61, 956959 (2000)
68.) Bounds on the turbulent heat transport in a porous medium
by Nikolay K. Vitanov Physica D 136, 322339 (2000)
69.) Convective heat transport in a fluid layer of infinite Prandtl number: upper bounds for the case of rigid lower boundary and stressfree upper boundary.
by Nikolay K. Vitanov European Phys. Journal B 15, 349355 (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, 277286 (1999)
71.) Breather and soliton wave families for the sineGordon equation
by Nikolay K. Vitanov Proc. Roy. Soc. London A 454, 24092423 (1998)
72.) Bounds for turbulent convection
by Nikolay K. Vitanov and F.H. Busse Journal of Applied Mathematics and Mechanics (ZAMM) 78, S787S788 (1998)
73.) Complicated exact solutions to the 2+1dimensional sineGordon equation
by Nikolay K. Vitanov Journal of Applied Mathematics and Mechanics (ZAMM) 78, S789S790 (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, 338346 (1998)
75.) Upper bounds on heat transport in a horizontal fluid layer with stressfree boundaries
by Nikolay K.Vitanov and F.H. Busse Journal of Applied Mathematical Physics (ZAMP) 48, 310324 (1997)
76.) On the solitary waves in the sineGordon model of the twodimensional Josephson junction
by Nikolay K. Vitanov and N.K. Martinov Zeitschrift fuer Physik B: Cond. Matt. 100, 129135 (1996)
77.) On traveling waves and doubleperiodic structures in twodimensional sineGordon systems
by Nikolay K. Vitanov J. Phys. A: Math. Gen. 29 , 51955207 (1996)
78.) New class of runningwave solutions of the 2+1dimensional sineGordon equation
by N. Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 27 , 46114618 (1994)
79.) On the selfconsistent thermal equilibrium structures in twodimensional negativetemperature systems
by N. Martinov and Nikolay K. Vitanov Canadian Journal of Physics 72, 618 624 (1994)
80.) Analysis of the standingwave solutions of the onedimensional sineGordon equation
by N. Martinov and Nikolay K. Vitanov Bulgarian Journal of Physics 19, 4856 (1992)
81.) Runningwave solutions of the twodimensional sineGordon equation
by N.Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, 36093613 (1992)
82.) On some solutions of the twodimensional sineGordon equation
by N. Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, L419  L426 (1992)
83.) On the correspondence between the selfconsistent 2D PoissonBoltzmann structures and the sineGordon waves
by N.Martinov and Nikolay K. Vitanov J. Phys. A: Math. Gen. 25, L51L56 (1992) 
Recent Projects:

Membership:

Honors:

Home page 
http://www.imbm.bas.bg/index.php/en_US/researchfields/fluidmechanics/vitanov 
Modified date:22022019