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April 22, 2019 15:00, Scientific Seminar on Mathematics, Tambov State Technical University (Tambov, April 22, 2019, 15:00, audience 233 corps A)
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Nonlinear dynamical systems, chaos and numerical methods
A. N. Pchelintsev |
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Abstract:
In this lecture, a modification of the power series method for the numerical construction of unstable solutions of systems of ordinary differential equations of chaotic type with quadratic nonlinearities in general form is considered. The region of convergence of the series is found and an algorithm for constructing approximate solutions is proposed.
Supplementary materials:
Pchelintsev_lec_2019.pdf (1.1 Mb)
References
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Kuznetsov S.P., Dinamicheskii khaos, Fizmatlit, M, 2006, 356 pp.
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Pchelintsev A.N., “Numerical and physical modeling of the dynamics of the Lorenz system”, Numerical Analysis and Applications, 7:2 (2014), 159–167
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Lozi R., Pchelintsev A.N., “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.
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Lozi R., Pogonin V.A., Pchelintsev A.N., “A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities”, Chaos, Solitons & Fractals, 91 (2016), 108–114
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