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Gorban', Aleksandr Nikolaevich

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14
Presentations: 4

Number of views:
This page:1533
Abstract pages:5060
Full texts:2737
References:372
Gorban', Aleksandr Nikolaevich
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 03.00.02 (Biophysics)
E-mail: ,
Website: http://icm.krasn.ru/personal.php?persid=30

https://www.mathnet.ru/eng/person26505
https://ru.wikipedia.org/wiki/Gorban,_Aleksandr_Nikolaevich
https://scholar.google.com/citations?user=D8XkcCIAAAAJ&hl=en
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/263757
https://orcid.org/0000-0001-6224-1430
https://www.scopus.com/authid/detail.url?authorId=7005285942

Publications in Math-Net.Ru Citations
2009
1. A. N. Gorban', V. M. Cheresiz, “Slow Relaxations and Bifurcations of the Limiting Sets of Dynamical Systems. III. Slow Relaxations of a Separate Semi-Flow”, Sib. Zh. Ind. Mat., 12:4 (2009),  35–43  mathnet  mathscinet; J. Appl. Industr. Math., 5:1 (2011), 65–72
2. A. N. Gorban', V. M. Cheresiz, “Медленные релаксации и бифуркации предельных множеств динамических систем. II. Медленные релаксации семейства полупотоков”, Sib. Zh. Ind. Mat., 12:2 (2009),  27–37  mathnet  mathscinet; J. Appl. Industr. Math., 4:2 (2010), 182–190 1
2008
3. A. N. Gorban', V. M. Cheresiz, “Медленные релаксации и бифуркации предельных множеств динамических систем. I. Бифуркации предельных множеств”, Sib. Zh. Ind. Mat., 11:4 (2008),  34–46  mathnet  mathscinet; J. Appl. Industr. Math., 4:1 (2010), 54–64 3
1998
4. A. N. Gorban', “A generalized approximation theorem and an exact representation of polynomials of several variables by superpositions of polynomials of one variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 5,  6–9  mathnet  mathscinet; Russian Math. (Iz. VUZ), 42:5 (1998), 4–7 2
5. A. N. Gorban', “Generalized approximation theorem and computational capabilities of neural networks”, Sib. Zh. Vychisl. Mat., 1:1 (1998),  11–24  mathnet  mathscinet  zmath 19
1992
6. V. I. Verbitskii, A. N. Gorban', “Jointly dissipative operators and their applications”, Sibirsk. Mat. Zh., 33:1 (1992),  26–31  mathnet  mathscinet  zmath; Siberian Math. J., 33:1 (1992), 19–23  isi
1991
7. V. I. Bykov, V. I. Verbitskii, A. N. Gorban', “On an estimate for the solution of the Cauchy problem with inexactly specified initial data and right-hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 12,  5–8  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:12 (1991), 4–7
8. N. N. Bugaenko, A. N. Gorban', I. V. Karlin, “Universal expansion of three-particle distribution function”, TMF, 88:3 (1991),  430–441  mathnet  mathscinet; Theoret. and Math. Phys., 88:3 (1991), 977–985  isi 4
1990
9. V. I. Verbitskii, A. N. Gorban', “An approach to the analysis of the stability of nonlinear systems”, Differ. Uravn., 26:5 (1990),  900–903  mathnet  mathscinet  zmath
1989
10. V. I. Verbitskii, A. N. Gorban', G. Sh. Utyubaev, Yu. I. Shokin, “The Moore effect in interval spaces”, Dokl. Akad. Nauk SSSR, 304:1 (1989),  17–21  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 8–11 2
11. A. N. Gorban', E. M. Mirkes, V. I. Bykov, “Thermodynamic consistency of kinetic data”, Fizika Goreniya i Vzryva, 25:5 (1989),  81–88  mathnet; Combustion, Explosion and Shock Waves, 25:5 (1989), 593–600 4
1981
12. A. N. Gorban', V. M. Cheresiz, “Slow relaxations of dynamical systems and bifurcations of omega-limit sets”, Dokl. Akad. Nauk SSSR, 261:5 (1981),  1050–1054  mathnet  mathscinet  zmath 1
1978
13. A. N. Gorban', “Sets of removable singularities and continuous mappings”, Sibirsk. Mat. Zh., 19:6 (1978),  1388–1391  mathnet  mathscinet  zmath; Siberian Math. J., 19:6 (1978), 979–981  isi
1976
14. A. N. Gorban', V. B. Melamed, “Certain properties of analytic Fredholm sets in Banach spaces”, Sibirsk. Mat. Zh., 17:3 (1976),  682–685  mathnet  mathscinet; Siberian Math. J., 17:3 (1976), 523–526  isi

Presentations in Math-Net.Ru
1. Slow transients and bifurcation of attractors
A. N. Gorban'
Mathematics of Artificial Intelligence
May 31, 2024 17:00
2. Hierarchical Universe of data and Braverman Compactness
A. N. Gorban'
Mathematics of Artificial Intelligence
May 24, 2024 17:00
3. Topological Grammars and dimensionality reduction
A. N. Gorban'
Mathematics of Artificial Intelligence
May 22, 2024 17:00
4. Data dimensionality and Stochastic separation theorems
A. N. Gorban'
Mathematics of Artificial Intelligence
May 17, 2024 17:00

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