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Bibikov, Pavel Vitalievich

Total publications: 35 (34)
in MathSciNet: 18 (18)
in zbMATH: 13 (13)
in Web of Science: 11 (11)
in Scopus: 19 (19)
Cited articles: 15
Citations: 51
Presentations: 14

Number of views:
This page:6817
Abstract pages:261676
Full texts:5146
References:1070
Senior Researcher
Birth date: 16.08.1988
E-mail:
Keywords: Lobachevskii geometry, discrete reflection groups, root systems, algebraic actions, categoric factor, differential invariants, invariant derivatives, jet spaces, algebraic dependencies.
   
Main publications:
  1. P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya lineinykh deistvii algebraicheskikh grupp na prostranstvakh odnorodnykh form”, DAN, 442:6 (2012), 732–735  zmath  elib
  2. P. V. Bibikov, V. V. Lychagin, “Projective classification of binary and ternary forms”, J. Geometry and Physics, 61:10 (2011), 1914–1927  crossref  mathscinet  zmath  adsnasa  scopus
  3. P. V. Bibikov, V. S. Zhgoon, “On tilings related to discrete reflection groups”, Izv. Math., 73:6 (2009), 1101–1109  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

https://www.mathnet.ru/eng/person37705
List of publications on Google Scholar
List of publications on ZentralBlatt

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2020
1. P. V. Bibikov, I. I. Frolov, Mat. Pros., 26, MCCME, Moscow, 2020, 49–66  mathnet

   2019
2. P. V. Bibikov, “On classification of polynomial Hamiltonians with non-degenerated linear-stable singular point”, Russian Math. (Iz. VUZ), 63:1 (2019), 76–78  mathnet  crossref  crossref  mathscinet  isi  scopus

   2018
3. P. V. Bibikov, “On Differential Invariants and Classification of Ordinary Differential Equations of the Form $y''=A(x,y)y'+B(x,y)$”, Math. Notes, 104:2 (2018), 167–175  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
4. P. V. Bibikov, I. S. Strel'tsova, “On contact integral calabi invariant”, UBS, 72 (2018), 27–32  mathnet  crossref  elib
5. P. V. Bibikov, “On the subgroups of birational contact maps and the Kartan–Keller's conjecture”, Dal'nevost. Mat. Zh., 18:1 (2018), 9–17  mathnet
6. P. V. Bibikov, N. A. Safonkin, “On classification of one class of the first order ODE”, Russian Math. (Iz. VUZ), 62:11 (2018), 1–11  mathnet  crossref  mathscinet  isi  scopus

   2017
7. P. V. Bibikov, “On Lie Problem and Differential Invariants of ODEs $y''=F(x,y)$”, Funct. Anal. Appl., 51:4 (2017), 255–262  mathnet  crossref  crossref  isi  elib  scopus

   2016
8. P. V. Bibikov, “On contact equivalence of Abel cubic differential equations of the second order”, Russian Math. (Iz. VUZ), 60:3 (2016), 82–84  mathnet  crossref  isi  scopus

   2015
9. P. V. Bibikov, “Differential Invariants and Problems of Contact and Point Equivalence of Functions on $n$-Jet Spaces $J^n\mathbb R$”, Math. Notes, 97:1 (2015), 143–146  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
10. P. V. Bibikov, “Classification of control ensembles of projective points”, Russian Math. (Iz. VUZ), 59:3 (2015), 25–30  mathnet  crossref  scopus

   2017
11. P. V. Bibikov, “On the geometry of quadratic second-order Abel ordinary differential equations”, J. Math. Sci., 223:6 (2017), 667–674  mathnet  crossref  mathscinet  elib  elib

   2014
12. P. V. Bibikov, “Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$”, Funct. Anal. Appl., 48:4 (2014), 250–255  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2013
13. P. V. Bibikov, “Classification of rational functions in symplectic and metric spaces”, Russian Math. (Iz. VUZ), 57:4 (2013), 1–6  mathnet  crossref  scopus
14. P. V. Bibikov, “Projective equivalence of smooth functions on a plane”, Russian Math. (Iz. VUZ), 57:12 (2013), 63–65  mathnet  crossref  scopus

   2012
15. P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya lineinykh deistvii algebraicheskikh grupp na prostranstvakh odnorodnykh form”, DAN, 442:6 (2012), 732–735  zmath  elib
16. P. V. Bibikov, “On affine classification of functions and foliations on the plane”, Lobachevskii Journal of Mathematics, 33:2 (2012), 115–122  crossref  mathscinet  zmath  scopus 1
17. P. V. Bibikov, “On automorphic systems of differential equations and $\mathrm{GL}_2(\mathbb C)$-orbits of binary forms”, Ufimsk. Mat. Zh., 4:4 (2012), 38–44  mathnet  mathscinet  elib

   2011
18. P. V. Bibikov, “Separation Indices of Irreducible Root Systems”, Math. Notes, 89:2 (2011), 304–306  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
19. P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_2(\mathbb{C})$-orbits of binary rational forms”, Lobachevskii Journal of Mathematics, 32:1 (2011), 95–102  crossref  mathscinet  zmath  scopus 15
20. P. V. Bibikov, “On algebraic dependencies in polygons and polyhedra”, Lobachevskii Journal of Mathematics, 32:2 (2011), 146–148  crossref  mathscinet  zmath  scopus
21. P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_3(\mathbb{C})$-orbity ratsionalnykh ternarnykh form”, DAN, 438:4 (2011), 295–297
22. P. V. Bibikov, V. V. Lychagin, “Projective classification of binary and ternary forms”, J. Geometry and Physics, 61:10 (2011), 1914–1927  crossref  mathscinet  zmath  adsnasa  scopus 8
23. P. V. Bibikov, “Classification of ternary forms with zero Hessian”, Russian Math. (Iz. VUZ), 55:9 (2011), 83–85  mathnet  crossref  mathscinet  scopus
24. P. V. Bibikov, “Metricheskaya klassifikatsiya algebraicheskikh proektivnykh krivykh”, Izvestiya PGPU im. V. G. Belinskogo, 2011, no. 26, 36–42
25. P. V. Bibikov, “Proektivnaya klassifikatsiya algebraicheskikh proektivnykh krivykh”, Trudy Matematicheskogo tsentra im. N. I. Lobachevskogo, 44, Kazanskoe matematicheskoe obschestvo, Kazan, 2011, 92–94

   2010
26. P. V. Bibikov, “Relative angular measure of the dual cone of the fundamental cone of a finite reflection group”, Russian Math. Surveys, 65:1 (2010), 173–174  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
27. P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya $\mathrm{SL}_2(\mathbb{C})$-orbit binarnykh form”, Trudy Matematicheskogo tsentra im. N. I. Lobachevskogo, 40, Kazanskoe matematicheskoe obschestvo, Kazan, 2010, 72–75
28. P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_2(\mathbb{C})$-orbity binarnykh form”, DAN, 435:4 (2010), 439–440  mathscinet  zmath  elib

   2009
29. P. V. Bibikov, “Opisannye tsiklicheskie linii treugolnika na ploskosti Lobachevskogo”, Matem. prosv., ser. 3, 13, Izd-vo MTsNMO, M., 2009, 142–148  mathnet 1
30. P. V. Bibikov, V. S. Zhgoon, “On Waldspurger's theorem”, Russian Math. Surveys, 64:5 (2009), 947–949  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
31. P. V. Bibikov, V. S. Zhgoon, “On tilings related to discrete reflection groups”, Izv. Math., 73:6 (2009), 1101–1109  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
32. P. V. Bibikov, V. S. Zhgoon, “Angle measures of some cones associated with finite reflection groups”, J. Lie Theory, 19:4 (2009), 767–769  mathscinet  zmath  elib

   2008
33. P. V. Bibikov, “Teoremy Shteinera i Ponsele v geometriyakh Evklida i Lobachevskogo”, Matem. prosv., 12, Izd-vo MTsNMO, M., 2008, 177–184  mathnet 1

   2007
34. P. V. Bibikov, I. V. Tkachenko, “O trisektsii i bisektsii treugolnika na ploskosti Lobachevskogo”, Matem. prosv., 11, Izd-vo MTsNMO, M., 2007, 113–126  mathnet  mathnet 1

  
35. P. V. Bibikov, Funktsional. Anal. i Prilozhen. (to appear)  mathnet

Presentations in Math-Net.Ru
1. Дифференциальные инварианты действий алгебраических групп и псевдогрупп и их применение в классической теории инвариантов и геометрической теории дифференциальных уравнений
P. V. Bibikov
Differential geometry and applications
May 24, 2021 16:45
2. Дифференциальная vs алгебраическая геометрии в теории дифференциальных уравнений
P. V. Bibikov
Differential geometry and applications
October 31, 2016 16:45
3. Classification of Binary Forms with Control Parameter
Pavel Bibikov
International youth conference "Geometry & Control"
April 14, 2014 17:00   
4. Symplectization of the contact space of 1-jets $J^1\mathbb{R}^n$ and its application in the study of differential equations
P. V. Bibikov
Differential geometry and applications
September 30, 2013 16:45
5. О геометрии дифференциальных уравнений Абеля
P. V. Bibikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 27, 2013 18:30
6. Differential invariants and the problem of classification of ordinary differential equations
P. V. Bibikov
Differential geometry and applications
February 11, 2013 16:45
7. Дифференциальные инварианты аффинных действий алгебраических групп
P. V. Bibikov
Contemporary Problems in Number Theory
October 25, 2012 12:45
8. Classification of rational Hamiltonians in symplectic spaces
P. V. Bibikov
Differential geometry and applications
April 9, 2012 16:45
9. Differential invariants of linear actions of algebraic groups on spaces of homogeneous forms
P. V. Bibikov
Differential geometry and applications
November 28, 2011 16:45
10. Application of differential invariants to classification problems in algebra
P. V. Bibikov
Differential geometry and applications
October 17, 2011 16:45
11. Classification of $\mathrm{GL}_3(\mathbb C)$-orbits of ternary forms
P. Bibikov
Lie groups and invariant theory
April 13, 2011 16:45
12. Проективная классификация тернарных форм
P. V. Bibikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 6, 2011 18:30
13. $\mathrm{SL}_2$-орбиты бинарных форм (совместная работа с В. В. Лычагиным)
P. Bibikov
Lie groups and invariant theory
April 7, 2010
14. О структуре сопряженных конусов систем корней (по работе J.-L. Waldspurger “Une remarque sur les systèmes de racines”)
P. Bibikov
Lie groups and invariant theory
November 14, 2007

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