Geodesic
An example of noncomputability of exponents of a system of ordinary differential equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2021), pp. 10-15

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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. 
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     title = {An example of noncomputability of exponents of a system of ordinary differential equations},
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A. V. Tiulenev. An example of noncomputability of exponents of a system of ordinary differential equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2021), pp. 10-15. http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a1/