Geodesic
On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 555-565 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, the author considers the modification of the method of power series for the numerical construction of unstable solutions of systems of ordinary differential equations of chaotic type with quadratic nonlinearities in general form. A region of convergence of series is found and an algorithm for constructing approximate solutions is proposed.
Mots-clés : chaos
Keywords: Lorentz system, attractor, power series. 
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A. N. Pchelintsev. On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 555-565. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a26/

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