normal forms; foliations; Stokes phenomena; monodromy transformation; rigidity; singular points of holomorphic vector fields; bifurcations.
Main publications:
Voronin S. M., “Analiticheskaya klassifikatsiya rostkov konformnykh otobrazhenii $(\mathbb C,0)\to(\mathbb C,0)$ s tozhdestvennoi lineinoi chastyu”, Funktsionalnyi analiz i ego prilozheniya, 15:1 (1981), 1–17
Voronin S. M., “The Darboux–Whitney Theorem and Related Questions”, Nonlinear Stokes Phenomenon, Adv. in Sov. Math., 14, ed. Yu. Ilyashenko, Providence, 1993, 139–233
Elizarov P., Ilyashenko Yu., Shcerbakov A., Voronin S., “Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane”, Nonlinear Stokes Phenomenon, Adv. in Sov. Math., 14, ред. Yu. Ilyashenko, Providence, 1993, 57–105
Voronin S. M., Grinchii A. A.
\pper Analytic classification of saddle resonant singular points of holomorphic vector fields on complex plane, J. of Dynamical and Control Systems, 2:1 (1996), 21–53
Voronin S. M., “Orbitalnaya analiticheskaya ekvivalentnost vyrozhdennykh osobykh tochek golomorfnykh vektornykh polei na kompleksnoi ploskosti”, Differentsialnye uravneniya s veschestvennym i kompleksnym vremenem, Trudy Matematicheskogo instituta im. V. A. Steklova, 213, 1997, 35–55
A. Yu. Makovetskii, S. M. Voronin, A. S. Voronin, T. Makavetskaya, “Algorithms to solve absolute orientation problem for GL(3), O(3), and SO(3) groups”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 97–112
2020
2.
A. Yu. Makovetskii, S. M. Voronin, V. I. Kober, A. V. Voronin, “An efficient algorithm for non-rigid object registration”, Computer Optics, 44:1 (2020), 67–73
S. M. Voronin, V. A. Adarchenko, A. V. Panov, “The structure of a shock wave's front in a heterogeneous mixture of two isothermal viscous gases”, Chelyab. Fiz.-Mat. Zh., 3:4 (2018), 461–475
2017
4.
P. A. Shaikhullina, S. M. Voronin, “Functional invariant for typical germs of semihyperbolic mappings”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 447–455
A. Yu. Makovetskii, S. M. Voronin, D. V. Tihonkih, M. N. Alekseev, “Closed form solution of ICP error minimization problem for affine transformations”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 282–294
2013
6.
S. M. Voronin, P. A. Fomina, “Sectorial normalization of semihyperbolic maps”, Vestnik Chelyabinsk. Gos. Univ., 2013, no. 16, 94–113
2012
7.
L. Ortiz-Bobadilla, E. Rosales-González, S. M. Voronin, “Thom's problem for degenerated singular points of holomorphic foliations in the plane”, Mosc. Math. J., 12:4 (2012), 825–862
L. Ortiz-Bobadilla, È. Rosales-González, S. M. Voronin, “Analytic Normal Forms of Germs of Holomorphic Dicritic Foliations”, Mosc. Math. J., 8:3 (2008), 521–545
L. Ortiz-Bobadil'ya, È. Rosales-González, S. M. Voronin, “Rigidity theorems for generic holomorphic germs of dicritic foliations and vector fields in $(\mathbb C^2,0)$”, Mosc. Math. J., 5:1 (2005), 171–206
S. M. Voronin, Yu. I. Meshcheryakova, “Аналитическая классификация ростков
голоморфных векторных полей с вырожденной элементарной
особой точкой”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 9, 16–41
2002
11.
S. M. Voronin, Yu. I. Meshcheryakova, “Analytic classification of generic degenerate elementary singular points of germs of holomorphic vector fields on the complex plane”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 1, 13–16; Russian Math. (Iz. VUZ), 46:1 (2002), 11–14
S. M. Voronin, “Аналитическая классификация ростков голоморфных
отображений с неизолированными неподвижными точками и
постоянными мультипликаторами и ее приложения”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 5, 12–30
1991
13.
S. M. Voronin, “Инвариантные кривые ростков трансверсально вырожденных отображений в $C^2$”, Vestnik Chelyabinsk. Gos. Univ., 1991, no. 1, 145–146
1982
14.
S. M. Voronin, “Analytic classification of pairs of involutions and its applications”, Funktsional. Anal. i Prilozhen., 16:2 (1982), 21–29; Funct. Anal. Appl., 16:2 (1982), 94–100
S. M. Voronin, “Analytic classification of germs of conformal mappings $(\mathbb{C},0)\to(\mathbb{C},0)$ with identity linear part”, Funktsional. Anal. i Prilozhen., 15:1 (1981), 1–17; Funct. Anal. Appl., 15:1 (1981), 1–13
I. V. Bychkov, S. M. Voronin, O. N. Dementiev, V. L. Dilman, V. I. Zalyapin, D. A. Zakharyevich, D. B. Izergin, V. V. Karachik, A. Yu. Makovetskii, L. D. Menikhes, V. N. Pavlenko, M. V. Plekhanova, E. A. Sbrodova, S. V. Taskaev, V. I. Ukhobotov, “Владимир Евгеньевич Федоров. К пятидесятилетию со дня рождения”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 5–10
2017
17.
S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, “К 70-летию профессора Вячеслава Николаевича Павленко”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 383–387
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