Publications

Books:

Borisenok, S., Kondratyev, A., (2002), “Algebraic methods in the classical mechanics”, St. Petersburg, Herzen University Publ.

Borisenok, S., Kondratyev, A. , (2003), “Canonical transforms in the course of theoretical physics”, St. Petersburg, Herzen University Publ.

Borisenok, S., Kondratyev, A., Liublinskaya, I., Uzdin, V., (2003), “The modern mathematical methods in the description of quantum non-equilibrium systems of interacting particles”, St. Petersburg, Herzen University Publ.

Borisenok, S.,. (2004), “Theoretical physics in pedagogical university”, St. Petersburg, “Library of Russian Academy of Sciences” Publ.

Bordovsky, G., Borisenok, S., Gorohovatsky, Yu., Kondratyev, A., Sukhanov, A., (2004), “Mechanics: Foundations”, Moscow, “Vysshaya Shkola”.

Borisenok, S., Kondratyev, A., (2011),“Quantum statistical mechanics”, Moscow, Fizmatlit.

 

Publications in international journals:

 

Adzhemyan, L., Borisenok, S., Girina, V., (1995), “Methods of renormalization group and operator product expansion in the theory of developed turbulence: asymptotics of transfer correlation functions”, Theoretical and Mathematical Physics, 105 (3), 450-461.

Antonov, N., Borisenok, S., Girina, V., (1996), “Renormalization group in developed turbulence: compound operators of canonical dimension 8”, Theoretical and Mathematical Physics, 106 (1), 92-101.

Adzhemyan, L., Borisenok, S., Nalimov, M., (1996), “Calculation of developed decay turbulent spectrum in the energy-containing and inertial regions”, Theoretical and Mathematical Physics, 106 (3), 416-424.

Antonov, N., Borisenok, S., Girina, V., (1996),Renormalization group in developed turbulence: the problem of infra-red corrections for Navier-Stokes equation”, Theoretical and Mathematical Physics, 107 (1), 47-63.

Borisenok, S., Rozhdestvensky, Yu., (2003), “Coherent adiabatic passage in atomic systems with a closed interaction contour”, Journal of Experimental and Theoretical Physics, 96 (1), 5-12.

Borisenok, S., Kondratyev, A., (2003), “Canonical transforms in the course of theoretical physics”, Physics in Higher Education, 9 (1), 32-48.

Borisenok, S., (2005), “Statistical space control in non-linear systems: speed gradient method”,Journal of Prime Research in Mathematics,1, 145-155.

Borisenok, S., (2005), “Modern control theory and its applications”, Math Track, 1 , 72-80.

Ahmad, B., Borisenok, S., Saifullah, Rozhdestvensky, Yu., (2006), “Open-loop control of quantum particle motion: effective splitting in momentum space”, Journal of Prime Research in Mathematics, 2, 208-216.

Borisenok, S., (2006), “Control in dissipative dynamical systems: the basic laws”, Math Track, 2,98-102.

Borisenok, S.,.(2007), “Method of effective potential for the factorized rapidly changing force”, Journal of Prime Research in Mathematics, 3,210-214.

Borisenok, S., (2007), “Statistical approach to non-linear control systems”, Math Track, 3, 73–77.

Borisenok, S.,, Iqbal, N., (2008), “Open-loop control for focusing of neutral particles by modulated optical field”, Acta Physica Polonica A, 114 (4), 751-759.

Borisenok, S.,. (2009), “Control with Kapitza’s averaging for chaotic systems”, Journal of Applied Functional Analysis, 4 (2), 327-336.

Ahmad, B., Borisenok, S., (2009), “Control of effective potential minima for Kapitza oscillator by periodically kicking pulses”, Physics Letters A, 373, 701-707.

Borisenok, S., Rozhdestvensky, Yu., (2011), “Thermodynamical approach to sympathetic cooling of neutral particles”,Journal of Chemical Physics, 134, 044109.

Borisenok, S., Saifullah, (2011), “Linear feedforward control of two-level quantum system by modulated external field”, Optics Communications, 284 (14), 3562-3567.

Erkut, M. H., Borisenok, S., Çağlar, M., Polatoğlu, Y., (2011), „Solution to n-dimensional Sturm-Liouville-like equations using multi-dimensional Schwarzian”, Journal of Differential Equations, 251, 3403-3420.

Borisenok, S., Erkut, M. H., Polatoğlu, Y., Demirer, M., (2011), “Multi-dimensional Weiss operators”, Turkish Journal of Mathematics, 35, 687-694.

 

Borisenok, S., Güven, K., Müstecaplioğlu, Ö. E., (2014), “Speed gradient tracking for superconducting Josephson junction”, to be published.

 

Some publications in national journals:

 

Borisenok, S., (1994), “Calculation of decay turbulent spectrum in the model of maximal randomness”, Issues of St. Petersburg State University, 4(2), 11, 70-76.

Borisenok, S., Novikov, S., (1999), “Calculation of one-dimensional spectra of developed turbulence in the frame of Heisenberg's model”, Issues of St. Petersburg State University, 4(3), 18, 12-21.

Borisenok, S., (2001), “Lie symmetries in the course of theoretical physics”, Physical Education in School and University, St. Petersburg, Herzen University Publ., 190-192.

Borisenok, S., (2002), “Hamiltonian approach in the course of theoretical physics”, Bulletin of Peoples Friendship University of Russia, 7 (51), 44-51.

Borisenok, S., (2003),“Poincare methods for dynamical systems”, Problems of physical education in school and university, St. Petersburg, Herzen University Publ., 202-205.

Borisenok, S., Budenny, V., Lysenko, Yu., (2003), “Computer algebra methods in the dimension analysis”, Problems of physical education in school and university. St. Petersburg, Herzen University Publ., 205-211.

Borisenok, S., Kondratyev, A., (2003), “Modern problems of physical education in pedagogical universities”, Issues of North-West Branch of Russian Academy of Education, 8, 131-142.

Borisenok, S., Kondratyev, A., Uzdin, V., (2004), “The Wigner representation in modern theoretical physics”, Izvestiya RGPU im. Herzena (Herzen University Issues), 4(8), 19-23.

Borisenok, S., (2005), “Toy model of viscosity spectrum function for one-dimensional energy spectrum of developed isotropic decaying turbulence”, Izvestiya RGPU im. Herzena (Herzen University Issues), 5 (13), 45-57.

Borisenok, S., (2006), “Correlation functions in controlled systems of non-linear dynamics”, Izvestiya RGPU im. Herzena (Herzen University Issues), 6(15), 23-27.

Borisenok, S., Rozhdestvensky, Yu., (2007), “Coherent scattering of atom wave packets in the field of amplitude-modulated standing light waves”, Izvestiya RGPU im. Herzena (Herzen University Issues), 7(26), 56-67.

Some international conference proceedings:

 

Borisenok, S., (2000), “Renormalization group in dilute Bose gas”, . XVII International Conference on Atomic Physics. Conference abstracts. Florence, pp. 373-374.

Borisenok, S., Rozhdestvensky, Yu., (2002),“Theoretical study of the multi Bragg scattering in standing wave”, International Quantum Electronics Conference. Moscow, p. 216.

Borisenok, S., Rozhdestvensky, Yu., (2003),“Scale splitting control for an atom wave packet coherent scattering in modulated standing wave”, International Conference “Physics and Control”, St Petersburg, Proceedings pp. 904-907.

Borisenok, S., Rozhdestvensky, Yu., Fradkov, A., (2003),“Speed-gradient control of cooled atom dynamics in potential of standing wave”, International Conference “Physics and Control”, St Petersburg, Proceedings, pp. 909-912.

Borisenok, S., Matisov, B., Rozhdestvensky, Yu., (2004),. “Integrative education of control methods in nanolithography”, XI. International Conference: High Intellectual Technologies and Quality of University Education, St. Petersburg Polytechnical University, pp. 108-109.

Borisenok, S., (2005), “Time-correlation function formalism and statistical description of control systems”, International Mathematical Conference, LUMS, Lahore, pp. 45-57.

Borisenok, S., (2012), “Mathematical models of brain dynamics: progress and perspectives”, AIP Conf. Proc.1450, 18; doi: 10.1063/1.4724111.

Borisenok, S., (2013), “Quantum statistical approach to brain dynamics”, 6th World Conference on 21st Century mathematics, Abstracts, Lahore,Abdus Salam School of Mathematical Sciences, pp. 10-11.

Mekler, A., Borisenok , S., (2014), “The Hausdorff dimension of EEG Poincare maps in studying system processes in human brain”, The Sixth International Conference on Cognitive Science, Kaliningrad, Russia, accepted.