10 citations · 27 across the 7 of their papers we have counts for
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math.DS2021★ 4 cited
On the Poisson Stability to Study a Fourth-Order Dynamical System with Quadratic Nonlinearities
Alexander N. Pchelintsev
This article discusses the search procedure for the Poincaré recurrences to classify solutions on an attractor of a fourth-order nonlinear dynamical system using a previously devel…
math.DS2020★ 10 cited
An Accurate Numerical Method and Algorithm for Constructing Solutions of Chaotic Systems
Alexander N. Pchelintsev
In various fields of natural science, the chaotic systems of differential equations are considered more than 50 years. The correct prediction of the behaviour of solutions of dynam…
math.DS2019★ 5 cited
The harmonic balance method for finding approximate periodic solutions of the Lorenz system
Alexander N. Pchelintsev, Andrey A. Polunovskiy, Irina Yu. Yukhanova
We consider the harmonic balance method for finding approximate periodic solutions of the Lorenz system. When developing software that implements the described method, the math pac…