01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
31.01.1948
E-mail:
,
Keywords:
mathematical modelling; applied bifurcation theory; integral manifolds, singularly-perturbed systems of ordinary differential equations.
Main publications:
Kononenko L. I. Katastrofa sborki v matematicheskoi modeli kataliticheskogo reaktora idealnogo peremeshivaniya // Sibirskii zhurnal industrialnoi matematiki. 2001. T. 4. # 1(7). S. 116–119.
Kononenko L. I. O gladkosti medlennoi poverkhnosti v matematicheskoi modeli kataliticheskogo reaktora idealnogo peremeshivaniya // Sibirskii zhurnal industrialnoi matematiki. 2000. T. 3. # 2(6). S. 152–158.
Kononenko L. I. O gladkosti medlennoi poverkhnosti v matematicheskoi modeli reaktsii kataliticheskogo okisleniya // Sibirskii zhurnal industrialnoi matematiki. 1999. T. 2. # 2(4). S. 120–125.
Kononenko L. I. Integralnye mnogoobraziya v matematicheskoi modeli reaktsii kataliticheskogo okisleniya // Izvestiya RAEN. Ser. MMMIU. 1997. T. 1. # 4. S. 53–59.
Kononenko L. I., Sobolev V. A. Asimptoticheskoe razlozhenie medlennykh integralnykh mnogoobrazii // Sib. matem. zhurn. 1994. T. 35. # 6. S. 1264–1278.
L. I. Kononenko, “An inverse problem of chemical kinetics in a nondegenerate case”, Mathematical notes of NEFU, 30:1 (2023), 63–71
2.
L. I. Kononenko, “The inverse problem for singular perturbed system with many-sheeted slow surfaces”, Vladikavkaz. Mat. Zh., 25:3 (2023), 81–88
2021
3.
L. I. Kononenko, “The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables”, Mathematical notes of NEFU, 28:2 (2021), 3–15
L. I. Kononenko, “Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics”, Sib. Èlektron. Mat. Izv., 16 (2019), 1640–1653
2018
5.
A. E. Gutman, L. I. Kononenko, “Inverse problem of chemical kinetics as a composition of binary correspondences”, Sib. Èlektron. Mat. Izv., 15 (2018), 48–53
L. I. Kononenko, “An identification problem for singular systems with a small parameter in chemical kinetics”, Sib. Èlektron. Mat. Izv., 13 (2016), 175–180
L. I. Kononenko, “Direct and inverse problems for a singular system with slow and fast variables in chemical kinetics”, Vladikavkaz. Mat. Zh., 17:1 (2015), 39–46
L. I. Kononenko, E. P. Volokitin, “Parameterization and qualitative analysis of a singular system in a mathematical model of catalytic oxidation”, Sib. Zh. Ind. Mat., 15:1 (2012), 44–52
L. I. Kononenko, “A parameterization of the slow curve in a chemokinetics problem”, Sib. Zh. Ind. Mat., 13:3 (2010), 51–57; J. Appl. Industr. Math., 5:3 (2011), 358–364
L. I. Kononenko, “Релаксационные колебания и решения–утки в сингулярных системах на плоскости”, Sib. Zh. Ind. Mat., 12:2 (2009), 58–64; J. Appl. Industr. Math., 4:2 (2010), 194–199
L. I. Kononenko, “Qualitative analysis of a singularly perturbed system in $\mathbb R^3$”, Sib. Zh. Ind. Mat., 10:4 (2007), 76–82; J. Appl. Industr. Math., 3:4 (2009), 456–461
2006
15.
L. I. Kononenko, “The effect of the shape of an integral manifold on the occurrence of relaxation oscillations”, Sib. Zh. Ind. Mat., 9:2 (2006), 75–80; J. Appl. Industr. Math., 2:4 (2008), 508–512
L. I. Kononenko, “Conditions for existence of relaxation oscillations in singular systems of low dimension”, Sib. Zh. Ind. Mat., 8:3 (2005), 87–92; J. Appl. Industr. Math., 1:1 (2007), 45–49
L. I. Kononenko, “On the smoothness of a slow surface in a mathematical model of the catalytic reactor of ideal mixing”, Sib. Zh. Ind. Mat., 3:2 (2000), 152–158
L. I. Kononenko, V. A. Sobolev, “Asymptotic decomposition of slow integral manifolds”, Sibirsk. Mat. Zh., 35:6 (1994), 1264–1278; Siberian Math. J., 35:6 (1994), 1119–1132
V. A. Aleksandrov, A. A. Borisenko, Yu. F. Borisov, Yu. D. Burago, V. V. Vershinin, E. P. Volokitin, L. I. Kononenko, S. S. Kutateladze, Yu. G. Reshetnyak, E. D. Rodionov, A. S. Romanov, S. A. Treskov, V. A. Sharafutdinov, “Viktor Andreevich Toponogov (obituary)”, Uspekhi Mat. Nauk, 61:2(368) (2006), 153–156; Russian Math. Surveys, 61:2 (2006), 341–345
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