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.

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 с. HAL Open Archive, arXiv: 2206.08195                
2. A. N. Pchelintsev, “On the Poisson stability to study a fourth-order dynamical system with quadratic nonlinearities”, Mathematics, 9:17 (2021), 2057, 18 с. HAL Open Archive, arXiv: 2112.14808              
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                
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              
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 с. HAL Open Archive              

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Tambov State Technical University