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Wandering velocity and wandering exponent spectra for linear differential systems of a special form

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Abstract

For three-dimensional linear differential systems of a special form (for which the solution mappings are rotations in a given plane and dilations–contractions in the orthogonal direction), we study possible relations between the spectra of wandering velocities and wandering exponents of their solutions.

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References

  1. Sergeev, I.N., Oscillatory and Wandering Characteristics of Solutions of a Linear Differential System, Izv. Ross. Akad. Nauk Ser. Mat., 2012, vol. 76, no. 1, pp. 149–172.

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  2. Lysak, M.D., Possible Relations between the Spectra of Wandering Exponents and Velocities of Three-Dimensional Systems, Differ. Uravn., 2015, vol. 51, no. 6, pp. 825–826.

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Correspondence to M. D. Lysak.

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Original Russian Text © M.D. Lysak, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 4, pp. 539–543.

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Lysak, M.D. Wandering velocity and wandering exponent spectra for linear differential systems of a special form. Diff Equat 52, 517–521 (2016). https://doi.org/10.1134/S001226611604011X

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  • DOI: https://doi.org/10.1134/S001226611604011X

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