Dynamical systems jf mathematical biology, reconstruction of multidimensional objects from projection data.
Biography
1970: M. S. in Mathematics, Novosibirsk state university, Russia. Thesis: "Adams–Novikov spectral sequence in the theory of oriented cobordisms".
1992: Doctor of Sciences in Mathematics, Sobolev Institute of Mathematics, Novosibirsk,Russia. Thesis "Manifolds with split normal bundles, topological properties and some applications".
Visiting positions:
The Weizmann Institute of Science, Israel.
1992, 1996, 2004, 2005, 2007, 2010.
Stanford University, USA. 1994, 2008,
Fulbright Fellow.
Ege University, Izmir, Turkey 1998.
Auckland University, New Zealand 2002.
Permanent position: leading research fellow in Sobolev institute of mathematics SB RAS, professor of Novosibirsk state university.
Main publications:
Yu. A. Gaidov, V. P. Golubyatnikov, V. A. Likhoshvai V.A., “On some nonlinear dynamical systems modeling asymmetric gene networks models. Part 2 (Russian)”, Bulletin of Novosibirsk State University, 10:1 (2010), 18–28
V. P. Golubyatnikov, Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data, Inverse and ill-posed problems series, VSP, Utrecht, 2000
N. B. Ayupova, V. P. Golubyatnikov, “On formal solutions to multidimensional evolution equations”, Siberian Advances in Math., 8:4 (1998), 21–40
V. P. Golubyatnikov, “On the unique reconstructibility of convex and visible compact sets from their projections”, Math. USSR Sbornik, 182:5 (1991), 1–10
V. P. Golubyatnikov, “On bordism rings with split normal bundles.”, Russian Math. Surveys, 34:6 (1979), 172–176
A. V. Glubokikh, V. P. Golubyatnikov, “On nonlocal oscillations in 3D models of circular gene networks”, Sib. Zh. Ind. Mat., 27:2 (2024), 34–42; J. Appl. Industr. Math., 18:2 (2024), 246–252
3.
V. P. Golubyatnikov, N. E. Kirillova, L. S. Minushkina, “Numerical and mathematical modeling of a gene network with non-linear degradation of components”, Sib. Zh. Vychisl. Mat., 27:1 (2024), 1–10
2023
4.
D. P. Furman, T. A. Bukharina, V. P. Golubyatnikov, “The central regulatory circuit of the morphogenesis system drosophila mechanoreceptors: mutation effects”, Sib. Zh. Ind. Mat., 26:3 (2023), 142–153; J. Appl. Industr. Math., 17:3 (2023), 535–543
5.
N. B. Ayupova, V. P. Golubyatnikov, “Phase portraits of two nonlinear models of circular gene networks”, Mathematical notes of NEFU, 30:2 (2023), 3–13
2022
6.
N. B. Ayupova, V. P. Golubyatnikov, L. S. Minushkina, “On invariant surfaces in phase portraits
of circular gene networks models”, Sib. Zh. Ind. Mat., 25:4 (2022), 5–13
A. A. Akinshin, N. B. Ayupova, V. P. Golubyatnikov, N. E. Kirillova, O. A. Podkolodnaya, N. L. Podkolodnyi, “On one numerical model of a circadian oscillator”, Sib. Zh. Vychisl. Mat., 25:3 (2022), 227–240
V. P. Golubyatnikov, L. S. Minushkina, “On uniqueness of a cycle in one circular gene network model”, Sibirsk. Mat. Zh., 63:1 (2022), 95–103; Siberian Math. J., 63:1 (2022), 79–86
V. P. Golubyatnikov, O. A. Podkolodnaya, N. L. Podkolodnyi, N. B. Ayupova, N. E. Kirillova, E. V. Yunosheva, “Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians”, Sib. Zh. Ind. Mat., 24:4 (2021), 39–53
V. P. Golubyatnikov, V. S. Gradov, “О неединственности циклов в некоторых кусочно-линейных моделях кольцевых генных сетей”, Mat. Tr., 23:1 (2020), 107–122
14.
T. A. Bukharina, A. A. Akinshin, V. P. Golubyatnikov, D. P. Furman, “Mathematical and numerical models of the central regulatory circuit of the morphogenesis system of Drosophila”, Sib. Zh. Ind. Mat., 23:2 (2020), 41–50; J. Appl. Industr. Math., 14:2 (2020), 249–255
N. B. Ayupova, V. P. Golubyatnikov, “Structure of the phase portrait of a piecewise-linear dynamical system”, Sib. Zh. Ind. Mat., 22:4 (2019), 19–25; J. Appl. Industr. Math., 13:4 (2019), 606–611
V. P. Golubyatnikov, L. S. Minushkina, “Monotonicity of the Poincaré mapping in some models of circular gene networks”, Sib. Zh. Ind. Mat., 22:3 (2019), 39–47; J. Appl. Industr. Math., 13:3 (2019), 472–479
V. P. Golubyatnikov, M. V. Kazantsev, N. E. Kirillova, T. A. Bukharina, “Mathematical and numerical models of two asymmetric gene networks”, Sib. Èlektron. Mat. Izv., 15 (2018), 1271–1283
V. P. Golubyatnikov, V. V. Ivanov, “Cycles in the odd-dimensional models of circular gene networks”, Sib. Zh. Ind. Mat., 21:4 (2018), 28–38; J. Appl. Industr. Math., 12:4 (2018), 648–657
V. P. Golubyatnikov, V. V. Ivanov, “Uniqueness and stability of a cycle in three-dimensional block-linear circular gene network models”, Sib. J. Pure and Appl. Math., 18:4 (2018), 19–28
V. P. Golubyatnikov, V. V. Ivanov, L. S. Minushkina, “On existence of a cycle in one asymmetric gene network model”, Sib. J. Pure and Appl. Math., 18:3 (2018), 27–35
V. P. Golubyatnikov, N. E. Kirillova, “On cycles in models of functioning of circular gene networks”, Sib. J. Pure and Appl. Math., 18:1 (2018), 54–63; J. Math. Sci., 246:6 (2020), 779–787
N. B. Ayupova, V. P. Golubyatnikov, “A three-cell model of the initial stage of the development of one proneural cluster”, Sib. Zh. Ind. Mat., 20:2 (2017), 15–20; J. Appl. Industr. Math., 11:2 (2017), 168–173
N. B. Ayupova, V. P. Golubyatnikov, M. V. Kazantsev, “On existence of a cycle in one asymmetric model of a molecular repressilator”, Sib. Zh. Vychisl. Mat., 20:2 (2017), 121–129; Num. Anal. Appl., 10:2 (2017), 101–107
V. P. Golubyatnikov, M. V. Kazantsev, “On one piecewise linear dynamical system which models a gene network with variable feedback”, Sib. J. Pure and Appl. Math., 16:4 (2016), 28–37; J. Math. Sci., 230:1 (2018), 46–54
N. B. Ayupova, V. P. Golubyatnikov, “On two classes of nonlinear dynamical systems: The four-dimensional case”, Sibirsk. Mat. Zh., 56:2 (2015), 282–289; Siberian Math. J., 56:2 (2015), 231–236
V. P. Golubyatnikov, A. E. Kalenykh, “On structure of phase portraits of some nonlinear dynamical systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:1 (2015), 45–53; J. Math. Sci., 215:4 (2016), 475–483
N. B. Ayupova, V. P. Golubyatnikov, “On the uniqueness of a cycle in an asymmetric $3$-dimensional model of a molecular repressilator”, Sib. Zh. Ind. Mat., 17:1 (2014), 3–7; J. Appl. Industr. Math., 8:2 (2014), 153–157
A. A. Akinshin, T. A. Bukharina, V. P. Golubyatnikov, D. P. Furman, “Mathematical Modeling of Interaction of Two Cells in the Proneural Cluster of the Wing Imaginal Disk of D. Melanogaster”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 3–10
A. A. Akinshin, V. P. Golubyatnikov, I. V. Golubyatnikov, “On some many-dimensional models of the functioning of gene networks”, Sib. Zh. Ind. Mat., 16:1 (2013), 3–9; J. Appl. Industr. Math., 7:3 (2013), 296–301
Yu. E. Anikonov, N. B. Aiupova, V. G. Bardakov, V. P. Golubyatnikov, M. V. Neshchadim, “Inversion of mapping and inverse problems”, Sib. Èlektron. Mat. Izv., 9 (2012), 382–432
D. V. Batenkov, V. P. Golubyatnikov, Y. N. Yomdin, “On One Class of Integral Geometry Problems with Incomplete Data”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:3 (2012), 46–60; J. Math. Sci., 202:1 (2014), 25–39
A. A. Akinshin, V. P. Golubyatnikov, “Geometric characteristics of cycles in some symmetric dynamical systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 3–12
T. A. Bukharina, V. P. Golubyatnikov, I. V. Golubyatnikov, D. P. Furman, “Mathematical modeling of the first phase of morphogenesis of mechanoreceptors in D. melanogaster”, Sib. Zh. Ind. Mat., 14:3 (2011), 14–19; J. Appl. Industr. Math., 6:2 (2012), 145–149
V. P. Golubyatnikov, “Реконструкция невыпуклых объектов по прямолинейным и круговым проекциям”, Sib. Èlektron. Mat. Izv., 7 (2010), 62–72
35.
V. P. Golubyatnikov, I. V. Golubyatnikov, “On multidimensional models of gene networks”, Sib. Zh. Ind. Mat., 13:3 (2010), 13–18; J. Appl. Industr. Math., 5:3 (2011), 343–347
V. P. Golubyatnikov, I. V. Golubyatnikov, V. A. Likhoshvai, “On the existence and stability of cycles in five-dimensional models of gene networks”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 403–411; Num. Anal. Appl., 3:4 (2010), 329–335
V. P. Golubyatnikov, I. V. Golubyatnikov, “On Periodic Trajectories of Nonlinear Dynamical Systems of a Special Type”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 3–16
V. P. Golubyatnikov, Yu. A. Gaidov, V. A. Likhoshvay, “On Some Nonlinear Dynamical Systems Modeling Asymmetric Gene Networks. Part 2”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:1 (2010), 18–28
V. P. Golubyatnikov, V. Yu. Rovenski, “Some extensions of the class of $k$-convex bodies”, Sibirsk. Mat. Zh., 50:5 (2009), 1037–1049; Siberian Math. J., 50:5 (2009), 820–829
V. P. Golubyatnikov, “On convexity of a planar domain with a pair of concave tomography projections”, Mat. Tr., 11:2 (2008), 107–114; Siberian Adv. Math., 19:2 (2009), 85–90
2007
41.
Yu. A. Gaydov, V. P. Golubyatnikov, “On some nonlinear dynamical systems modelling asymmetric gene networks”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:2 (2007), 19–27
S. S. Bednarjevsky, V. P. Golubyatnikov, E. S. Zacharikov, G. I. Smirnov, N. G. Shevchenko, “On correlation of the information biotest data and the ecoanalytical control of an environment in areas of petroleum extracting”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:1 (2007), 3–8
2006
43.
V. P. Golubyatnikov, A. G. Kleshchev, K. A. Klescheva, A. V. Kudriavtseva, “Investigation of phase portraits of three-dimensional models of gene networks”, Sib. Zh. Ind. Mat., 9:1 (2006), 75–84
V. V. Pickalov, D. I. Kazantsev, V. P. Golubyatnikov, “The central slice theorem generalization for a fan-beam tomography”, Num. Meth. Prog., 7:2 (2006), 180–184
E. V. Akinina, S. S. Bednarzhevskii, V. P. Golubyatnikov, A. G. Nazin, G. I. Smirnov, N. G. Shevchenko, “Modeling calibration functions for the technologies of system analysis of quality and certification of biomaterials”, Sib. Zh. Ind. Mat., 8:3 (2005), 3–7; J. Appl. Industr. Math., 1:4 (2007), 406–409
V. P. Golubyatnikov, D. V. Kozlovskaya, G. I. Smirnov, N. G. Shevchenko, “We establish polarization-statistical properties of the signals in the quantum information and cryptography systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:4 (2005), 3–13
V. P. Golubyatnikov, E. V. Makarov, G. I. Smirnov, “A quasistatic model of nonlinear generation on ions of a magnetoactive plasma”, Sib. Zh. Ind. Mat., 7:4 (2004), 59–65
48.
V. P. Golubyatnikov, V. V. Makarov, E. V. Makarov, G. I. Smirnov, N. G. Shevchenko, “Mathematical modeling of self-interaction of the plasma of a stationary heavy-current discharge”, Sib. Zh. Ind. Mat., 7:3 (2004), 76–83
2003
49.
V. P. Golubyatnikov, B. P. Kashnikov, G. I. Smirnov, “Mathematical modelling of heterogenous charge transfer in solid nanostructures under resonance radiation”, Sib. Zh. Ind. Mat., 6:2 (2003), 31–36
2002
50.
V. P. Golubyatnikov, V. A. Likhoshvai, “A one-dimensional model of the development of amphibian populations”, Sib. Zh. Ind. Mat., 5:2 (2002), 53–60
V. P. Golubyatnikov, N. P. Zapivalov, G. I. Smirnov, V. I. Kharitonov, “Fractal model of electric conductivity for oil-saturated media”, Sib. Zh. Ind. Mat., 2:2 (1999), 36–41
52.
V. P. Golubyatnikov, N. P. Zapivalov, G. I. Smirnov, V. I. Kharitonov, “On a method of fractal simulation of seismic prospecting of oil-saturated systems”, Sib. Zh. Ind. Mat., 2:1 (1999), 41–46
53.
S. S. Bednarzhevskii, V. P. Golubyatnikov, G. Yu. Sazhinov, G. I. Smirnov, “On a mathematical model of polarization methods of impulsive laser nephelometry of dispersible biosystems”, Sib. Zh. Ind. Mat., 2:1 (1999), 5–12
54.
V. P. Golubyatnikov, “On the unique reconstruction of convex compact sets from their projections, the case of complex spaces”, Sibirsk. Mat. Zh., 40:4 (1999), 805–810; Siberian Math. J., 40:4 (1999), 678–681
N. B. Aiupova, V. P. Golubyatnikov, “On Formal Solutions to Multidimensional Evolution Equations”, Mat. Tr., 1:2 (1998), 3–23; Siberian Adv. Math., 8:4 (1998), 21–40
E. V. Akinina, S. S. Bednarzhevskii, V. P. Golubyatnikov, G. I. Smirnov, “Mathematical modeling of nonlinear dynamics of strong radiation which appears in laser nephelometric analysis of dispersed biological media”, Sib. Zh. Ind. Mat., 1:2 (1998), 14–23
1997
57.
V. P. Golubyatnikov, “An inverse problem for the Hamilton–Jacobi equation on a closed manifold”, Sibirsk. Mat. Zh., 38:2 (1997), 276–279; Siberian Math. J., 38:2 (1997), 235–238
V. P. Golubyatnikov, “On unique reconstructibility of convex and visible compact sets from their projections. II”, Sibirsk. Mat. Zh., 36:2 (1995), 301–307; Siberian Math. J., 36:2 (1995), 265–269
V. P. Golubyatnikov, “Stability problems of the reconstruction of some compacta from
their projections”, Dokl. Akad. Nauk, 322:1 (1992), 20–21; Dokl. Math., 45:1 (1992), 12–14
60.
V. P. Golubyatnikov, “Stability questions in some inverse problems of the reconstruction of convex compact sets from their projections”, Sibirsk. Mat. Zh., 33:3 (1992), 50–57; Siberian Math. J., 33:3 (1992), 409–415
V. P. Golubyatnikov, “On unique recoverability of convex and visible compacta from their projections”, Mat. Sb., 182:5 (1991), 611–621; Math. USSR-Sb., 73:1 (1992), 1–10
V. P. Golubyatnikov, “On the unique reconstructibility of compact convex sets from their projections”, Sibirsk. Mat. Zh., 31:6 (1990), 196–199; Siberian Math. J., 31:6 (1990), 1043–1045
V. P. Golubyatnikov, “Bordism rings with split normal bundles. II”, Sibirsk. Mat. Zh., 30:5 (1989), 42–48; Siberian Math. J., 30:5 (1989), 699–704
1988
64.
V. P. Golubyatnikov, G. I. Smirnov, V. T. Filippov, “Chronogeometric and topological structures of spaces with variable
signature of the metric”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1106–1108; Dokl. Math., 33:4 (1988), 254–255
65.
V. P. Golubyatnikov, “On the unique determination of visible bodies from their projections”, Sibirsk. Mat. Zh., 29:5 (1988), 92–96; Siberian Math. J., 29:5 (1988), 761–764
V. P. Golubyatnikov, “Integral submanifolds of phase spaces and cohomotopies”, Dokl. Akad. Nauk SSSR, 280:1 (1985), 27–29
1984
68.
V. P. Golubyatnikov, “Manifolds with split (into halves) stable normal bundles in phase spaces”, Funktsional. Anal. i Prilozhen., 18:2 (1984), 63–64; Funct. Anal. Appl., 18:2 (1984), 139–140
1983
69.
V. P. Golubyatnikov, L. N. Pestov, “Trajectories of a dynamical system defined by a one-parameter group of conformal transformations of $\mathbf{R}^3$”, Sibirsk. Mat. Zh., 24:1 (1983), 63–67; Siberian Math. J., 24:1 (1983), 52–56
V. P. Golubyatnikov, “Süss's lemma and inverse problems”, Sib. Èlektron. Mat. Izv., 9 (2012), 16–19
2002
75.
Yu. E. Anikonov, A. L. Bukhgeim, V. P. Golubyatnikov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)”, Sib. Zh. Ind. Mat., 5:2 (2002), 3–6