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This article is cited in 29 scientific papers (total in 29 papers)
The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems
I. N. Sergeev Faculty of Mechanics and Mathematics, Moscow State University
Abstract:
Lyapunov-type oscillation and wandering indicators are defined for solutions of systems of differential equations; these are the average frequency of zeros for the projection of a solution onto some line and the average angular velocity of rotation of a solution about the origin in some basis, respectively. An integral equality relating these indicators is obtained. The indicators introduced are shown to coincide if, prior to averaging, the oscillation indicators are minimized over all possible lines, and the wandering indicators over all possible bases.
Bibliography: 17 titles.
Keywords:
differential system, zeros of solutions, oscillation and wandering, characteristic exponents.
Received: 02.09.2011 and 06.11.2012
Citation:
I. N. Sergeev, “The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems”, Mat. Sb., 204:1 (2013), 119–138; Sb. Math., 204:1 (2013), 114–132
Linking options:
https://www.mathnet.ru/eng/sm7928https://doi.org/10.1070/SM2013v204n01ABEH004293 https://www.mathnet.ru/eng/sm/v204/i1/p119
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Abstract page: | 804 | Russian version PDF: | 236 | English version PDF: | 15 | References: | 105 | First page: | 34 |
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