Abstract
We prove that a generic set of wandering exponents (of all ranks) of an autonomous system may not coincide with the spectrum of absolute values of imaginary parts of its eigenvalues and that the two highest-rank wandering exponents of an autonomous system in general position coincide.
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References
Sergeev, I.N., Generalized Wandering Characteristics of Solutions of a Differential System, Differ. Uravn., 2013, vol. 49, no. 11, pp. 1498–1500.
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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Original Russian Text © I.N. Sergeev, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 12, pp. 1678–1679.
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Sergeev, I.N. Generic values of generalized wandering exponents of autonomous systems. Diff Equat 50, 1683–1684 (2014). https://doi.org/10.1134/S0012266114120143
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DOI: https://doi.org/10.1134/S0012266114120143