Abstract
It is proved that wandering rates of solutions to any autonomous four-dimensional system with the Cauchy operator performing two independent rotations with two different frequencies in two planes (forming a direct sum, but not necessarily orthogonal one) fill exactly the segment with endpoints at those frequencies.
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References
I. N. Sergeev, “Determination of Wandering Characteristics of Solutions of a Linear System,” Differ. Uravn. 46(6), 902 (2010).
I. N. Sergeev, “Oscillation and Wandering Characteristics of Solutions of a Linear Differential System,” Izv. Russ. Akad. Nauk, Ser. Matem. 76(1), 149 (2012) [Izvestiya: Math. 76 (1), 139 (2012)].
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Original Russian Text © D.S. Burlakov, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 2, pp. 49–53.
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Burlakov, D.S. Spectrum of wandering rates of a nonorthogonal product of two rotations. Moscow Univ. Math. Bull. 70, 88–91 (2015). https://doi.org/10.3103/S0027132215020072
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DOI: https://doi.org/10.3103/S0027132215020072