Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 2, Pages 10–15 (Mi vmumm4385)  
Mathematics

An example of noncomputability of exponents of a system of ordinary differential equations

A. V. Tiulenev

Russian University of Transport
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Abstract: A two-dimensional system of ordinary differential equations is constructed. The system possesses the following properties. The solution to a Cauchy problem with computable initial values is computable, the lower Lyapunov exponent is non-computable, the upper central exponent does not coincide with the higher Lyapunov exponent and is non-computable.
Key words: Lyapunov exponents, upper central exponent, computable real, computable solution of differential equation.
Received: 04.03.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 2, Pages 53–59
DOI: https://doi.org/10.3103/S0027132221020078
Bibliographic databases:
Document Type: Article
UDC: 517.926.4, 510.57
Language: Russian
Citation: A. V. Tiulenev, “An example of noncomputability of exponents of a system of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 10–15; Moscow University Mathematics Bulletin, 76:2 (2021), 53–59
Citation in format AMSBIB
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