Numerical method for calculating the upper limit of a function and the highest Lyapunov exponent of linear differential systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 123-125.

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In this paper, we propose a method for the numerical calculation of the highest Lyapunov exponent for a linear ordinary differential system.
Keywords: Lyapunov exponent, numerical methods.
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P. M. Simonov; A. V. Chistyakov. Numerical method for calculating the upper limit of a function and the highest Lyapunov exponent of linear differential systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 123-125. http://geodesic.mathdoc.fr/item/INTO_2020_186_a15/

[1] Arushanyan O. B., Zaletkin S. F., Chislennoe reshenie obyknovennykh differentsialnykh uravnenii na Fortrane, Izd.-vo MGU, M., 1990

[2] Vinograd R. E., Grobman D. M., Nemytskii V. V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti, Nauka, M., 1966

[3] Demidovich B. P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967 | MR