Partial and ordinary difrerential equations and their applications to problems of sygnal processing, condensed matter physics and biophysics.
Main publications:
R. Toenjes, I. M. Sokolov, and E. B. Postnikov, “Nonspectral Relaxation in One Dimensional Ornstein-Uhlenbeck Processes”, Phys. Rev. Lett., 110 (2013), 150602
E.B. Postnikov, A.Yu. Verisokin, D. V. Verveyko, A.I. Lavrova, “Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions”, Phys. Rev. E, 81 (2010), 052901
E.B. Postnikov, “Wavelet phase synchronization and chaoticity”, Phys. Rev. E, 80 (2009), 057201
E.B. Postnikov, “Hierarchical mean-field model describing relaxation in a small-world network”, Phys. Rev. E, 80 (2009), 062105
U. Naether, E.B. Postnikov, I.M. Sokolov, “Infection fronts in contact disease spread”, Eur. J. Phys. B, 65 (2008), 353–359
A. V. Sychev, E. B. Postnikov, “On the relationship between the observed dynamics of a colorimetric indicator and the nonlinear dynamics of the population growth under study in the case of microbial cultures”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:3 (2024), 332–346
2023
2.
R. N. Belenkov, E. B. Postnikov, “Approach to nonlinearity parameter in liquids calculation based on the scaling theory of thermodynamic fluctuations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:1 (2023), 45–62
2016
3.
A. L. Goncharov, V. V. Melent'ev, E. B. Postnikov, “The speed of sound and the heat capacity of liquid neon in the subcritical region”, TVT, 54:1 (2016), 41–44; High Temperature, 54:1 (2016), 51–54
E. B. Postnikov, “Wavelet transform with the Morlet wavelet: calculation methods based
on a solution of diffusion equations”, Computer Research and Modeling, 1:1 (2009), 5–12
A. I. Lavrova, E. B. Postnikov, Yu. M. Romanovsky, “Brusselator: an abstract chemical reaction?”, UFN, 179:12 (2009), 1327–1332; Phys. Usp., 52:12 (2009), 1239–1244
E. B. Postnikov, “The representation of a wavelet transform of the Gaussian family by a superposition of solutions to partial differential equations”, Num. Meth. Prog., 9:1 (2008), 84–89
2007
7.
M. I. Davidich, E. B. Postnikov, “Boolean model of fission yeast Schizosaccharomyces pombe cell division cycle: the dynamics in the case of normal and perturbated initial conditions”, Mat. Biolog. Bioinform., 2:2 (2007), 377–386
E. B. Postnikov, “Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006), 77–82; Comput. Math. Math. Phys., 46:1 (2006), 73–78
P. S. Zykov, E. B. Postnikov, “The application of the wavelet transform with a piecewise linear basis to the evaluation of the Hankel transform”, Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004), 421–425; Comput. Math. Math. Phys., 44:3 (2004), 396–400
A. R. Khokhlov, N. V. Brilliantov, S. T. Belyakin, A. R. Dzhanoev, E. A. Zhuchkova, O. L. Kotlyarov, S. S. Krotov, S. A. Larionov, E. B. Postnikov, G. Yu. Riznichenko, S. D. Rybalko, A. B. Ryabov, “Alexander Yurievich Loskutov (5.5.1959–5.11.2011)”, Nelin. Dinam., 8:1 (2012), 175–177
