Stability of difference and differential equations, neural networks
Main publications:
T.N. Khokhlova, M.M. Kipnis, V.V. Malygina, “The stability cone for a delay differen-tial matrix equation”, Applied Mathematics Letters, 24 (2011), 742–745
S.A. Ivanov, M.M. Kipnis, “Stability analysis of discrete-time neural networks with delayed interac-tions: torus, ring, grid, line”, International Journal of Pure and Applied Mathematics, 78:5 (2012), 691–709
Khokhlova T.N., Kipnis M.M., “Numerical and qualitative stability analysis of ring and linear neural net-works with a large number of neurons”, International Journal of Pure and Applied Mathematics, 76:3 (2012), 403–419
L. Berezansky, L. Idels, M. Kipnis, “Mathematical model of marine protected areas”, IMA Journal of Applied Mathematics, 2011, № 76, 312–325
S. A. Ivanov, M. M. Kipnis, “Dynamics of stability regions of discrete models of neural networks of small world type when the numeric characteristics of the network graph change”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 7:2 (2018), 22–31
2017
2.
D. A. Komissarova, M. M. Kipnis, “Comparison of several stability conditions for linear difference equations”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 9:4 (2017), 13–18
2009
3.
V. M. Gilyazev, M. M. Kipnis, “Convexity of the coefficient sequence and discrete systems stability”, Avtomat. i Telemekh., 2009, no. 11, 101–107; Autom. Remote Control, 70:11 (2009), 1856–1861
V. M. Gilyazev, M. M. Kipnis, “Stability and convexity: from integro-differential to difference equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 32–33
2004
5.
M. M. Kipnis, R. M. Nigmatulin, “Stability of the trinomial linear difference equations with two delays”, Avtomat. i Telemekh., 2004, no. 11, 25–39; Autom. Remote Control, 65:11 (2004), 1710–1723
M. M. Kipnis, M. Yu. Vaguina, “Stability of the logistic population model with delayed environmental response”, Avtomat. i Telemekh., 2004, no. 5, 38–44; Autom. Remote Control, 65:5 (2004), 721–726
2003
7.
M. M. Kipnis, R. M. Nigmatulin, “Stability of Some Difference Equations with Two Delays”, Avtomat. i Telemekh., 2003, no. 5, 122–130; Autom. Remote Control, 64:5 (2003), 782–790
M. Yu. Vaguina, M. M. Kipnis, “Stability of the Zero Solution of Delay Differential Equations”, Mat. Zametki, 74:5 (2003), 786–789; Math. Notes, 74:5 (2003), 740–743
M. M. Kipnis, “One-dimensional models of statistical mechanics with the Hubbard
Hamiltonian and the interaction function that is free from the convexity
condition”, Dokl. Akad. Nauk, 336:3 (1994), 316–319; Dokl. Math., 39:5 (1994), 304–307
M. M. Kipnis, “Application of discrete convolution equations for testing the stability of periodic processes in pulse-width systems”, Avtomat. i Telemekh., 1992, no. 4, 86–93; Autom. Remote Control, 53:4 (1992), 547–553
11.
M. M. Kipnis, “Local stability of impulse systems and the stability of the zero solution of quasilinear discrete convolution equations”, Avtomat. i Telemekh., 1992, no. 3, 92–100; Autom. Remote Control, 53:3 (1992), 401–409
12.
M. M. Kipnis, “Symbolic and chaotic dynamics of a pulse-width control system”, Dokl. Akad. Nauk, 324:2 (1992), 273–276; Dokl. Math., 37:5 (1992), 217–219
O. Ya. Karetnyi, M. M. Kipnis, “A measure of inertia of a linear dynamic element”, Avtomat. i Telemekh., 1990, no. 7, 16–23; Autom. Remote Control, 51:7 (1990), 866–872
1989
15.
G. V. Ivanov, O. Ya. Karetnyi, M. M. Kipnis, “Design of integral frequeocy pulse modulated converters”, Avtomat. i Telemekh., 1989, no. 2, 40–46; Autom. Remote Control, 50:2 (1989), 161–166
1988
16.
O. Ya. Karetnyi, M. M. Kipnis, Yu. B. Petrova, “Use of pulse frequency responses in studying periodic modes in systems with a pulse-width modulator”, Avtomat. i Telemekh., 1988, no. 8, 59–68; Autom. Remote Control, 49:8 (1988), 1005–1012
1987
17.
O. Ya. Karetnyi, M. M. Kipnis, “Periodic operating modes of pulse-width control systems. II”, Avtomat. i Telemekh., 1987, no. 12, 42–48
18.
O. Ya. Karetnyi, M. M. Kipnis, “Periodic conditions in pulse-width modulated control systems. I”, Avtomat. i Telemekh., 1987, no. 11, 46–54
1971
19.
M. M. Kipnis, “On realizations of predicate formulas”, Zap. Nauchn. Sem. LOMI, 20 (1971), 40–48
M. M. Kipnis, “Invariant properties of systems of formulas of elementary axiomatic
theories”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970), 963–976; Math. USSR-Izv., 4:5 (1970), 965–978
A. A. Bragina, V. L. Dilman, A. V. Herreinstein, M. M. Gol'denberg, V. V. Karachik, M. M. Kipnis, A. V. Kungurtseva, A. S. Makarov, E. V. Martynova, L. V. Matveeva, S. V. Matveev, L. D. Menikhes, V. A. Shtraus, G. A. Sviridyuk, P. B. Utkin, S. A. Zagrebina, V. I. Zalyapin, A. A. Zamyshlyaeva, et al., “Evnin Alexander Yurevich (September 24, 1960 – November 19, 2020)”, J. Comp. Eng. Math., 8:1 (2021), 74–48
2016
24.
S. A. Zagrebina, V. I. Zalyapin, M. M. Kipnis, S. V. Korzhakova, G. A. Sviridyuk, “Anatoliy Semenovich Makarov. To the 70$^{\mathrm{th}}$ anniversary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 72–75
Contact us: