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Pchelintsev, Alexander Nikolaevich

Total publications: 55 (47)
in MathSciNet: 7 (7)
in zbMATH: 10 (10)
in Web of Science: 16 (16)
in Scopus: 19 (19)
Cited articles: 15
Citations: 126
Presentations: 6

Number of views:
This page:21567
Abstract pages:2152
Full texts:782
References:174
Pchelintsev, Alexander Nikolaevich
Associate professor
Candidate of physico-mathematical sciences (2009)
Speciality: 05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
Website: https://www.researchgate.net/profile/Alexander_Pchelintsev3
Keywords: differential equations, numerical methods, power series, Lorenz system, Lorenz attractor, chaos.
UDC: 519.622.2
MSC: 65, 34

Subject:

Dynamical systems and Chaos, Numerical Methods.

Biography

1. The Lesser Prize 2014 of IAPC "Nauka/Interperiodica" for the best publication in its journals (a series of works devoted to the study of solutions of systems of ordinary differential equations on compact sets).

2. Together with the French mathematician René Lozi, a high-precision numerical method was developed for constructing approximations to chaotic motions of dynamical systems with quadratic nonlinearities.

3. A high-precision numerical scheme for finding approximations to unstable cycles of the Lorenz system is proposed.

4. A member of the Editorial Board of the journal "Chaos Theory and Applications". https://dergipark.org.tr/en/pub/chaos

5. In 2020, Alexander Pchelintsev scientifically edited the second edition in Russian of James Gleicks book "Chaos: Making a New Science" by Corpus.

6. A member of the Reviewer Board of the journal "Mathematics" (MDPI). https://www.mdpi.com/journal/mathematics/submission_reviewers

7. Guest Editor of the Special Issue "Mathematical Modeling and Study of Nonlinear Dynamic Processes" of the journal "Computation" (MDPI) https://www.mdpi.com/journal/computation/special_issues/Nonlinear_Dynamic_Processes

   
Main publications:
  1. A. N. Pchelintsev, “On a high-precision method for studying attractors of dynamical systems and systems of explosive type”, Mathematics, 10:8 (2022), 1207, 12 ñ. HAL Open Archive, arXiv: 2206.08195  hlocal  crossref  adsnasa  isi  isi  elib  scopus  scopus
  2. A. N. Pchelintsev, “On the Poisson stability to study a fourth-order dynamical system with quadratic nonlinearities”, Mathematics, 9:17 (2021), 2057, 18 ñ. HAL Open Archive, arXiv: 2112.14808  hlocal  crossref  adsnasa  isi  elib  scopus  scopus
  3. A. N. Pchelintsev, “A numerical-analytical method for constructing periodic solutions of the Lorenz system”, Differencialnie Uravnenia i Protsesy Upravlenia, 2020, № 4, 59–75 diffjournal.spbu.ru, arXiv: 2102.04794  hlocal  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
  4. Rene Lozi, V. A. Pogonin, A. N. Pchelintsev, “A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities”, Chaos, Solitons and Fractals, 91 (2016), 108–114 HAL Open Archive  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  5. Rene Lozi, A. N. Pchelintsev, “A new reliable numerical method for computing chaotic solutions of dynamical systems: the Chen attractor case”, International Journal of Bifurcation and Chaos, 25:13 (2015), 1550187, 10 ñ. HAL Open Archive  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

https://www.mathnet.ru/eng/person76552
https://scholar.google.com/citations?user=IlOU7HkAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:pchelintsev.alexander-n
https://mathscinet.ams.org/mathscinet/MRAuthorID/1121436
https://elibrary.ru/author_items.asp?authorid=185015
ISTINA https://istina.msu.ru/workers/10388201
https://orcid.org/0000-0003-4136-1227
https://publons.com/researcher/527717
https://www.webofscience.com/wos/author/record/K-1417-2013
https://www.scopus.com/authid/detail.url?authorId=55618908100
https://www.researchgate.net/profile/Alexander_Pchelintsev3
https://arxiv.org/a/pchelintsev_a_1

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


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

   2023
1. A. Obukhov, A. Volkov, A. Pchelintsev, A. Nazarova, D. Teselkin, E. Surkova, I. Fedorchuk, “Examination of the accuracy of movement tracking systems for monitoring exercise for musculoskeletal rehabilitation”, Sensors, 23:19 (2023), 8058 , 30 pp.  hlocal  crossref  isi  elib  scopus 1
2. I. I. Emelyanova, A. N. Pchelintsev, “Optimal control of non-linear systems via quadratic criteria with bounded controls”, Programmnye Produkty i Sistemy (Software & Systems), 36:2 (2023), 245–249 (in Russian)  hlocal  crossref  elib
3. M. Vigdorowitsch, V. V. Ostrikov, A. N. Pchelintsev, I. Yu. Pchelintseva, “Diffusion kinetics theory of removal of assemblies’ surface deposits with flushing oil”, Computation, 11:8 (2023), 164 , 12 pp.  hlocal  crossref  isi  elib  scopus
4. J. Venkatesh, A. N. Pchelintsev, A. Karthikeyan, F. Parastesh, S. Jafari, “A fractional-order memristive two-neuron-based hopfield neuron network: dynamical analysis and application for image encryption”, Mathematics, 11:21 (2023), 4470 , 17 pp.  hlocal  crossref  isi  elib  scopus 6

   2022
5. A. N. Pchelintsev, “On a high-precision method for studying attractors of dynamical systems and systems of explosive type”, Mathematics, 10:8 (2022), 1207 , 12 pp. HAL Open Archive, arXiv: 2206.08195  hlocal  crossref  adsnasa  isi  elib  scopus 2
6. A. N. Pchelintsev, “High-precision calculations for the modeling of nonlinear dynamical systems with attractors”, Computer Science: Problems, Methods, Technologies. Proceedings of the XXII International Scientific and Practical Conference named after E.K. Algazinov. Edited by D.N. Borisov (Voronezh, February 10 – 12, 2022), Welborn, Voronezh, 2022, 437–443 (in Russian)  hlocal  elib
7. D. Pesterev, O. Druzhina, A. Pchelintsev, E. Nepomuceno, D. Butusov, “Numerical integration schemes based on composition of adjoint multistep methods”, Algorithms, 15:12 (2022), 463 , 12 pp.  hlocal  crossref  isi  scopus 2
8. T. V. Zhukovskaya, E. A. Molokanova, A. N. Pchelintsev, Vysshaya matematika s elementami tvorcheskogo obucheniya v 4 ch., Uchebnoe posobie, 4, Izdatelskii tsentr FGBOU VO "TGTU", Tambov, 2022 , 168 pp., Multimediinoe elektronnoe izdanie https://www.tstu.ru/book/elib3/mm/2022/Gukovskaya/

   2021
9. I. Yu. Pchelintseva, A. N. Pchelintsev, Yu. V. Litovka, “Modeling of metal distribution when coating flat metal plates in electroplating baths”, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 34:2 (2021), e2830 , 10 pp. View Article  crossref  isi  elib  scopus 1
10. M. Vigdorowitsch, A. N. Pchelintsev, L. E. Tsygankova, “Analytical continuation within the Freundlich adsorption model. Comment on Edet, U.A.; Ifelebuegu, A.O. Kinetics, isotherms, and thermodynamic modeling of the adsorption of phosphates from model wastewater using recycled brick waste. Processes 2020, 8, 665”, Processes, 9:7 (2021), 1251 , 5 pp.  hlocal  crossref  isi  elib  scopus 2
11. A. N. Pchelintsev, “On the Poisson stability to study a fourth-order dynamical system with quadratic nonlinearities”, Mathematics, 9:17 (2021), 2057 , 18 pp. HAL Open Archive, arXiv: 2112.14808  hlocal  crossref  adsnasa  isi  elib  scopus 3
12. M. Vigdorowitsch, A. Pchelintsev, L. Tsygankova, E. Tanygina, “Freundlich isotherm: an adsorption model complete framework”, Applied Sciences, 11:17 (2021), 8078 , 7 pp.  hlocal  crossref  isi  elib  scopus 47
13. A. N. Pchelintsev, “On the study of fourth-order dynamic system with quadratic nonlinearities”, Mathematical Methods in Technologies and Technics (St. Petersburg, May 31 – June 4, 2021), Sarlen-Alex, Saratov, 2021, 11–15 (in Russian)  crossref  elib
14. T. V. Zhukovskaya, E. A. Molokanova, A. N. Pchelintsev, Vysshaya matematika s elementami tvorcheskogo obucheniya v 4 ch., Uchebnoe posobie, 3, Izdatelskii tsentr FGBOU VO "TGTU", Tambov, 2021 , 163 pp., Multimediinoe elektronnoe izdanie https://www.tstu.ru/book/elib3/mm/2021/Zukovskaya
15. A. D. Nakhman, D. N. Protasov, A. N. Pchelintsev, Praktiko-orientirovannye zadachi po vysshei matematike, Uchebnoe posobie, Izdatelskii tsentr FGBOU VO "TGTU", Tambov, 2021 , 80 pp., Uchebnoe elektronnoe izdanie https://www.tstu.ru/book/elib1/exe/2021/Nakhman.exe

   2020
16. A. N. Pchelintsev, “An accurate numerical method and algorithm for constructing solutions of chaotic systems”, Journal of Applied Nonlinear Dynamics, 9:2 (2020), 207–221 HAL Open Archive, arXiv: 2011.10664  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 7
17. A. N. Pchelintsev, S. Ahmad, “Solution of the Duffing equation by the power series method”, Transactions of TSTU, 26:1 (2020), 118–123  hlocal  crossref  elib 1
18. A. N. Pchelintsev, “A numerical-analytical method for constructing periodic solutions of the Lorenz system”, Differencialnie Uravnenia i Protsesy Upravlenia, 2020, no. 4, 59–75 diffjournal.spbu.ru, arXiv: 2102.04794  hlocal  mathscinet  zmath  adsnasa  elib  scopus
19. T. V. Zhukovskaya, E. A. Molokanova, A. N. Pchelintsev, Vysshaya matematika s elementami tvorcheskogo obucheniya v 4 ch., Uchebnoe posobie, 2, Izdatelskii tsentr FGBOU VO “TGTU”, Tambov, 2020 , 156 pp., Multimediinoe elektronnoe izdanie https://www.tstu.ru/book/book/elib3/mm/2020/Gukovskay
20. A. D. Nakhman, D. N. Protasov, A. N. Pchelintsev, Elementy stokhastiki - kompetentnostnyi podkhod, Uchebnoe posobie, Izdatelskii tsentr FGBOU VO "TGTU", Tambov, 2020 , 84 pp., Uchebnoe elektronnoe izdanie https://www.tstu.ru/book/book/elib1/exe/2020/Nachman.exe
21. A. Pchelintsev, Review of the book “Chaos: Making a New Science” by James Gleick, 2020 Corpus Publishing Blog (in Russian)

   2019
22. A. P. Afanasev, S. M. Dzyuba, I. I. Emelyanova, A. N. Pchelintsev, E. V. Putilina, “Optimal control of nonlinear systems with separated linear part via quadratic criteria”, Optimization Letters, 13:8 (2019), 1715–1725 View Article  crossref  mathscinet  zmath  isi  scopus 1
23. A. N. Pchelintsev, A. A. Polunovskiy, I. Yu. Yukhanova, “The harmonic balance method for finding approximate periodic solutions of the Lorenz system”, Russian Universities Reports. Mathematics, 24:126 (2019), 187–203 HAL Open Archive, arXiv: 1908.08556 (in Russian)  hlocal  mathnet  crossref  adsnasa  elib  scopus
24. A. N. Pchelintsev, “On the construction of approximate periodic solutions of the Lorenz system”, XVI School-Conference of Young Scientists “Management of Large Systems” (Tambov, September, 10–13), 2019, 30–34  hlocal  elib
25. A. N. Pchelintsev, “The dynamics of signals in digital circuits: the transition from Boolean algebra to a new algebra”, Lecture for school students in the project “Basic Schools of the Russian Academy of Sciences” September 11, 2019, School-Conference of Young Scientists “Management of Large Systems”, Tambov State Technical University, 2019 (Published online) (in Russian)  hlocal

   2018
26. A. P. Afanasiev, S. M. Dzyuba, A. N. Pchelintsev, I. I. Emelyanova, “Optimal feedback control for one class of nonlinear systems via quadratic criterion”, Programmnye Produkty i Sistemy (Software & Systems), 31:4 (2018), 705–709 (in Russian)  hlocal  crossref  elib
27. A. N. Pchelintsev, “On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 555–565  mathnet  crossref  elib
28. A. Pchelintsev, Finding cycles on the Lorenz attractor in Maxima package, https://habr.com/ru/post/354968/, 2018 Habrahabr (in Russian)

   2017
29. A. Pchelintsev, Three cycles in the Lorenz attractor, https://habrahabr.ru/post/329578/, 2017 Habrahabr (in Russian)

   2016
30. V. A. Pogonin, M. P. Onevsky, A. N. Pchelintsev, “On algorithm of identification of nonlinear system parameters”, Applied Mathematical Sciences, 10:20 (2016), 973–987  hlocal  crossref  elib  scopus
31. A. N. Pchelintsev, “On a numerical method of construction of unstable solutions of the Chen system”, Proceedings of the 5th International conference “Nonlinear Analysis and Extremal Problems” (Irkutsk, June 20–25, 2016), ISDCT SB RAS, 2016, 40–43 (in Russian)  hlocal
32. Rene Lozi, V. A. Pogonin, A. N. Pchelintsev, “A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities”, Chaos, Solitons & Fractals, 91 (2016), 108–114 HAL Open Archive  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2015
33. Rene Lozi, A. N. Pchelintsev, “A new reliable numerical method for computing chaotic solutions of dynamical systems: the Chen attractor case”, International Journal of Bifurcation and Chaos, 25:13 (2015), 1550187 , 10 pp. DBLP CSB  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18
34. A. Pchelintsev, On the existence of periodic solutions in the Lorenz system, https://habrahabr.ru/post/249429/, 2015 (Published online) Habrahabr (in Russian)
35. A. N. Pchelintsev, V. A. Pogonin, “A method of determining the control parameters in the energy-saving control problem”, Journal of Engineering and Applied Sciences, 10:2 (2015), 33–36  hlocal  scopus
36. A. Pchelintsev, Two-dimensional dynamic arrays in C++, Lecture for students, 2015 (Published online) (in Russian)  youtube

   2014
37. A. N. Pchelintsev, “Numerical and physical modeling of the dynamics of the Lorenz system”, Numerical Analysis and Applications, 7:2 (2014), 159–167  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
38. A. Pchelintsev, On the solution of incomplete cubic equation, https://habrahabr.ru/post/211881/, 2014 (Published online) Habrahabr (in Russian)
39. A. Pchelintsev, The Lorenz system and computer experiment, https://habrahabr.ru/post/229959/, 2014 (Published online) Habrahabr (in Russian)

   2013
40. A. N. Pchelintsev, “On constructing generally periodic solutions of a complicated structure of a non-autonomous system of differential equations”, Numerical Analysis and Applications, 6:1 (2013), 54–61  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
41. A. N. Pchelintsev, “Construction of periodic solutions of one class nonautonomous systems of differential equations”, Journal of Applied Mathematics and Physics, 1:3 (2013), 1–4 CiteSeerX  mathnet  crossref  youtube
42. A. N. Pchelintsev, The failure risk analysis of digital circuits, 2013 (Published online) SciRate, arXiv: 1303.4051  adsnasa  isi
43. A. Pchelintsev, A critical view on the Lorenz attractor, https://habrahabr.ru/post/203926/, 2013 (Published online) Habrahabr (in Russian)

   2012
44. A. N. Pchelintsev, V. A. Pogonin, A. Yu. Godymchuk, Yu. M. Smolin, “A study of mathematical models dynamics in distributed computing environment”, Transactions of TSTU, 18:4 (2012), 1002–1006 (in Russian)  hlocal  elib
45. S. V. Bezgin, A. N. Pchelintsev, “Structure of matrix and symbolic calculations for research of the behavior of solutions of ordinary differential equations”, Control Systems and Information Technology, 47:1 (2012), 4–7 (in Russian)  hlocal  elib

   2010
46. A. P. Afanasyev, S. M. Dzyuba, A. N. Pchelintsev, S. M. Lobanov, “Optimal control over single-class of nonlinear systems via quadratic criterion”, Transactions of TSTU, 16:2 (2010), 361–374 (in Russian)  hlocal  elib
47. S. M. Dzyuba, S. M. Lobanov, A. N. Pchelintsev, “On constructing of optimal control of nonlinear systems by quadratic criterion”, Actual Problems of Applied Mathematics, Computer Science and Mechanics (Voronezh, September 20 – 22, 2010), Voronezh State University, Voronezh, 2010, 135–137 (in Russian)  hlocal
48. A. N. Pchelintsev, A. Yu. Povetyev, “An algorithm for constructing an arc of trajectory of a dynamical system of Markov type in a distributed computer environment”, XIII Russian conference with the participation of foreign scientists “Distributed information and computing resources” (DICR-2010) (Novosibirsk, November 30 – December 3, 2010), Electron. opt. disk (CD-ROM). – State number Registration 0321100051, 2010 http://conf.nsc.ru/dicr2010/ru/reportview/31571  hlocal

   2009
49. A. N. Pchelintsev, V. A. Pogonin, “On finding generally periodic solutions of autonomous systems of differential equations in a distributed computing environment using symbolic computation”, Control Systems and Information Technology, 36:2 (2009), 27–31 (in Russian)  hlocal  elib
50. A. N. Pchelintsev, “On the experience of using symbolic computing to study the Lorenz system”, Proceedings of the Institute for System Analysis of the RAS, 46 (2009), 138–146 URSS.ru (in Russian)  hlocal  elib

   2007
51. A. Pchelintsev, “One option of Satellite Internet setup in Mandriva Linux 2007”, System Administrator, 2007, no. 9 (58), 38–40 (in Russian)  hlocal  elib

   2006
52. A. N. Pchelintsev, “The solution of inverse problem using the continuous gravimetric dosing (manuscript)”, 2006 (in Russian)  hlocal

   2003
53. V. A. Popov, A. N. Pchelintsev, “Special functions in the mathematical disciplines of a technical university”, Tambov University Reports. Series: Natural and Technical Sciences, 8:3 (2003), 435 (in Russian)  hlocal  elib
54. A. N. Pchelintsev, V. A. Shishin, “Relaxation time of electron conduction in metal”, Transactions of TSTU, 9:3 (2003), 464–468 (in Russian)  hlocal  zmath  elib

   2000
55. A. N. Pchelintsev, “Voltmeter as a speedometer (manuscript)”, 2000 (in Russian)  hlocal

Presentations in Math-Net.Ru
1. Application of high-precision numerical methods to study attractors of dynamical systems
A. N. Pchelintsev
Scientific Seminar on Mathematics, Tambov State Technical University (Tambov, October 6, 2021, 12:45, Boiling point, corps L)
October 6, 2021 12:45   
2. The method of least squares and numerical methods to find extremum
A. N. Pchelintsev
Open lecture on mathematics, Tambov State Technical University (Tambov, audience 236 corps A).
May 18, 2019 13:00   
3. Nonlinear dynamical systems, chaos and numerical methods
A. N. Pchelintsev
Scientific Seminar on Mathematics, Tambov State Technical University (Tambov, April 22, 2019, 15:00, audience 233 corps A)
April 22, 2019 15:00
4. Dynamics of signals in digital circuits: the transition from Boolean algebra to the new algebra
A. N. Pchelintsev
Open lecture on mathematics, Tambov State Technical University
December 14, 2018 14:00   
5. On modeling the dynamics of the Lorenz system
A. N. Pchelintsev
International conference "Kolmogorov Meetings VI. General control problems and applications (GCP-2013)", Tambov State University (Tambov, 2013)
October 8, 2013 16:05   
6. Finding of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations
A. N. Pchelintsev
International conference "Kolmogorov Meetings. General control problems and applications (GCP-2011)", Tambov State University (Tambov, 2011)
October 10, 2011 15:55   

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