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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 10, Pages 60–78
(Mi ivm9406)
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This article is cited in 1 scientific paper (total in 1 paper)
On simplified formulas for the central exponents of differential systems with non-uniform scales
I. N. Sergeev Lomonosov Moscow State University,
1 Leninskiye Gory, Moscow, 119991 Russia
Abstract:
We study the Vinograd–Millionshchikov central exponents, which represent the exact outer boundaries for the mobility of the extremal values of the Lyapunov and Perron exponents of a linear differential system under uniformly small perturbations of its coefficients. We prove the possibility of calculating those exponents using simplified formulas with expanding time scales and obtain concrete estimates of the central exponents with simplified ones, calculated in different scales: thick, expanding, slowly expanding and sparse.
Keywords:
differential equation, linear system, stability, Lyapunov exponent, central exponent.
Received: 22.08.2017
Citation:
I. N. Sergeev, “On simplified formulas for the central exponents of differential systems with non-uniform scales”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 60–78; Russian Math. (Iz. VUZ), 62:10 (2018), 51–67
Linking options:
https://www.mathnet.ru/eng/ivm9406 https://www.mathnet.ru/eng/ivm/y2018/i10/p60
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Abstract page: | 198 | Full-text PDF : | 46 | References: | 25 | First page: | 1 |
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