Institute of Mechanics

Николай Колев Витанов

Допълнителна инфомация

• Избрани публикации:   Списък на публикациите  и цитатите може да се види на   https://scholar.google.bg/citations?user=lwklmyEAAAAJ&hl=en   Избрани публикации до 2016 г.: 1.) Science dynamics and research production. Indicators, indexes, statistical laws andmathematical models. Springer International, Switzerland (2016) by Nikolay K. Vitanov 2.) Box model of migration channels 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 ofthe methodology with applications. by Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov Applied Mathematica and Computation, 269, 363 - 378 (2015) Публикации до 2010 г. 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. Vitanovр pp. 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, 2-31 (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)

  Проекти: 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

  Членство в научни организации: Society for industrial and applied mathematics (SIAM), USA Съюз на математиците в България Съюз на учените в България

  Награди: Награда за върхови научни постижения на Съюза на учените в България, 2008, 2017.   Лична страница http://www.imbm.bas.bg/index.php/bg_BG/vitanov