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An Accurate Numerical Method and Algorithm for Constructing Solutions of Chaotic Systems

 Alexander N. Pchelintsev
Journal of Applied Nonlinear Dynamics, In press, 9 (2)
Article dans une revue hal-01985365v1
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Метод гармонического баланса для отыскания приближённых периодических решений системы Лоренца

 Alexander N. Pchelintsev , Andrey A. Polunovskiy , Irina Yu. Yukhanova
Tambov University Reports. Series Natural and Technical Sciences, 2019, 126, pp.187-203. ⟨10.20310/1810-0198-2019-24-126-187-203⟩
Article dans une revue hal-02196313v1
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A New Reliable Numerical Method for Computing Chaotic Solutions of Dynamical Systems: The Chen Attractor Case

 René Lozi , Alexander N. Pchelintsev
International journal of bifurcation and chaos in applied sciences and engineering , 2015, 25 (13), pp.1550187. ⟨10.1142/S0218127415501874⟩
Article dans une revue hal-01323625v1
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A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities

 René Lozi , Vasily A. Pogonin , Alexander N. Pchelintsev
Chaos, Solitons & Fractals, 2016, 91, pp.108-114. ⟨10.1016/j.chaos.2016.05.010⟩
Article dans une revue hal-01319597v1
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On the Poisson Stability to Study a Fourth-Order Dynamical System with Quadratic Nonlinearities

 Alexander N. Pchelintsev
Mathematics , 2021, pp.2057. ⟨10.3390/math9172057⟩
Article dans une revue hal-04090986v1
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On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

 Alexander N. Pchelintsev
2023
Pré-publication, Document de travail hal-04090989v1
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