Prof. Dr. Dr. Dr. habil. Nikolay Kolev Vitanov

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietStrömungsmechanik,Empirische Sozialforschung,Bioinformatik und Theoretische Biologie
KeywordsSocial dynamics, Stochastic processes, Turbulence, Nonlinear time series analysis, Mathematical models in biology

Aktuelle Kontaktadresse

LandBulgarien
OrtSofia
Universität/InstitutionBulgarian Academy of Sciences
Institut/AbteilungInstitute of Mechanics
Websitehttp://www.imbm.bas.bg/index.php/en_US/vitanov

Gastgeber*innen während der Förderung

Prof. Dr. Holger KantzMax-Planck-Institut für Physik komplexer Systeme, Dresden
Beginn der ersten Förderung01.02.2003

Programm(e)

2002Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

2010Nikolay Kolev Vitanov: Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. In: Communications in Nonliner science and Numerical Simulation, 2010, 2050-2060
2010Nikolay Kolev Vitanov and Zlatinka I. Dimitrova: Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics. In: Communications in Nonlinear Science and Numerical Simulation, 2010, 2836-2845
2010Nikolay Kolev Vitanov, Zlatinka I. Dimitrova and Holger Kantz: Modified method of simplest equation and its application to nonlinear PDEs. In: Applied Mathematics and Computation, 2010, 2587-2595
2010Nikolay Kolev Vitanov: Optimum fields and bounds on heat transport for nonlinear convection in rapidly rotating fluid layer. In: European Physical Journal B, 2010, 265-273
2009Nikolay Kolev Vitanov: Bounds for heat transport for convection in rotating fluid layer. In: Journal of Theoretical and Applied Mechanics, 2009, 11-20
2009Nikolay Kolev Vitanov: Bounds for heat transport in rapidly rotating fluid layer. In: Proceedings of the Bulgarian Academy of Sciences, 2009, 709-716
2009Nikolay Kolev Vitanov, Ivan P. Jordanov, Zlatinka Dimitrova: On nonlinear dynamics of interacting populations. Coupled kink waves in a system of two populations.. In: Communications in NonlinearScience and Numerical Simulations, 2009, 2379-2388
2009Nikolay Kolev Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova: On nonlinear population waves. In: Applied Mathematics and Computatuion, 2009, 2950-2964
2009Nikolay Kolev Vitanov, Norbert Hoffmann: On probability of rogue waves in the North sea. In: Proceedings of the Bulgarian Academy of Sciences, 2009, 185-191
2009Nikolay Kolev Vitanov: Optimum theory of turbulence: Ideas, methods and results. In: Journal of Theoretical and Applied mechanics, 2009, 31-62
2009Katheleen Ashenfelter, Jennifer Waddel, Steven Boker, Nikolay Kolev Vitanov: Spatiotemporal symmetry and multifractal structure of head movements during diadic conversation. In: Journal of Experimantal Psychology: Human Prception and Performance, 2009, 1072-1091
2009Nikolay Kolev Vitanov: The elite and its education. In: Science (Sofia), 2009, 73 -75
2008Nikolay Kolev Vitanov: Differentiation and integration of the scientific kniowledge in the boundary area between natural and social sciences: New scientific topics. In: Science(Sofia), 2008, 33-36
2008Nikolay Kolev Vitanov and Stoicho Panchev: Generalization of the model of conflict between two armed groups. In: Comptes rendus de l'Academie bulgare des Sciences, 2008, 1121-1126
2008Stoicho Panchev and Nikolay Kolev Vitanov: Mathematical models of intergroup conflicts. In: Comptes rendus de l'Academie bulgare des Sciences, 2008, 993-1002
2008Nikolay Kolev Vitanov, Kenshi Sakai, Zlatinka I. Dimitrova: SSA,PCA,TDPSC,ACFA:Useful combination of methods for analysis of short and stationary time series. In: Chaos Solitons and Fractals, 2008, 187-202
2008Nikolay Kolev Vitanov, Zlatinka Dimitrova, Stojcho Panchev: Social dynamics without formulas. Complex systems from man to civilisation. Publishing House of the Bulgarian Academy of Sciences, 2008
2007Nikolay Kolev Vitanov, Kenshi Sakai, Ivan P. Jordanov, Shunsuke Managi, Katsuhiko Demura: Analysis of the Japan government intervention on the domestic agriculture market. In: Physica A, 2007, 330-335
2007Stojcho Panchev, Tatyana Spassova,Nikolay Kolev Vitanov: Analytical and numerical investigations of two families of Lorenz-like dynamical systems. In: Chaos Solitons and Fractals, 2007, 1658-1671
2007Nikolay Kolev Vitanov: Physics and Social Dynamics. In: Physics, 2007, 71-76
2007Nikolay Kolev Vitanov: Shall we survive. In: Science (Sofia), 2007, 3-7
2007Kenshi Sakai, Shunsuke Managi,Nikolay Kolev Vitanov, Katsuhiko Demura: Transition of Chaotic Motion to a Limit Cycle by Intervention of Economic Policy: An Empirical Analysis in Agriculture. In: Nonlinear Dynamics, Psychology and Life Sciences, 2007, 253-265
2006Nikolay Kolev Vitanov, Zlatinka I. Dimitrova, Ivan P. Jordanov: Application of Physics Methods to Social phenomena. In: Ivan Zhelyazkov, Advances of Physics and Astrophysics of the 21st century. Heron Press, 2006. 123-128
2006Nikolay Kolev Vitanov, Khristo Tarnev, Holger Kantz: Hoelder-exponent-based test for long-range correlations in pseudorandom sequences. In: Journal of Theoretical and Applied Mechanics, 2006, 47-64
2006Nikolay Kolev Vitanov: How Bulgarian researchers cope with the EU scientific systems - problems and perspectives. In: Science (Sofia), 2006, 18-23
2006Nikolay Kolev Vitanov and Elka Yankulova: Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila Melanogaster. In: Chaos, Solitons and Fractals, 2006, 768-775
2006Nikolay Kolev Vitanov, Zlatinka I. dimitrova, Holger Kantz: On the trap of extinction and its elimination. In: Physics Letters A, 2006, 350-355
2006Nikolay Kolev Vitanov: The Empire of Knowledge I: Japan Scientific Policy. In: Science (Sofia), 2006, 12-21
2006Nikolay Kolev Vitanov: The Empire of Knowledge II: Reforms in Japan Scientific and Technological Systems. In: Science (Sofia), 2006, 14-24
2005Nikolay Kolev Vitanov, Zlatinka I. Dimitrova, Stojcho panchev: Challenges to Contemporary Physics: Econophysics and Sociophysics. In: Science (Sofia), 2005, 13-23
2005Syefan Hegamann, Anja Kusterer, Nikolay K. Vitanov, Veneta Todorova: Investigation of Alexander's law in human caloric nystagmus. First results.. In: Comptes rendus de l'Academie bulgare des Sciences, 2005, 457-462
2005Nikolay Kolev Vitanov: Numerical upper bounds on convective heat transport in a layer of fluid of finite Prandtl number: Confirmation of Howard's analytical asymptotic single-wave-number bound. In: Physics of Fluids, 2005, 105106-1-105106-13
2005Stoicho Panchev and Nikolay Kolev Vitanov: On asymptotic properties of some complex Lorenz-like systems. In: Journal of the Calcutta Mathematical Society , 2005, 121-130
2005Nikolay Kolev Vitanov, Kenshi Sakai, Elka D. Yankulova: On correlations and fractal characteristics of time series. In: Journal of Theoretical and Applied Mechanics, 2005, 73-90
2005Nikolay Kolev Vitanov, Zlatinka I. Dimitrova, Stoicho Panchev: Population Dynamics and National Sequrity. Marin Drinov Publishing House of the Bulgarian Academy of Sciences, 2005
2005Holger Kantz, Detlef Holstein, Mario Ragwitz, Nikolay K. Vitanov: Predicting probabilify for stochastic processes with local Markov property. In: J. Peinke, A. Kittel, S. Barth, M. Oberlack, Progress in Turbulence. Springer, 2005. 95-98
2005Zlatinka I. Dimitrova, Nikolay K. Vitanov: Shilnikov chaos in a generalized system for modelling dynamics of competing populations. In: Comptes rendus de l'Academie bulgare des Sciences, 2005, 257-265
2005Nikolay K. Vitanov: Upper bpunds on the heat transport in a heated from below fluid layer.. In: J. Peinke, A. Kittel, S. Barth, M. Oberlack, Progress in Turbulence. Springer, 2005. 37-40
2004Zlatinka I. Dimitrova, Nikolay Kolev Vitanov: Chaotic pairwise competition. In: theoretical Population Biology, 2004, 1-12
2004Holger Kantz, Detlef Holstein, Mario Razwitz, Nikolay Kolev Vitanov: Extreme events in surface wind: Predicting turbulent gusts. In: S. Boccaletti, B. J. Gluckman, J. Kurths, L. M. Pecora, R. Meucci, O. Yordanov, Experimental chaos. AIP conference proceedings 742. American Institute of Physics, 2004. 315-324
2004Holger Kantz, Detlef Holstein, Mario Ragwitz and Nikolay Kolev Vitanov: Markov chain model for turbulent wind speed data. In: Physica A, 2004, 315-321