Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems
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| Creator |
Karataieva, T.
Koshmanenko, V. |
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| Description |
We study the spectral properties of the limiting measures in the conflict dynamical systems modeling the alternative interaction between opponents. It has been established that typical trajectories of such systems converge to the invariant mutually singular measures. We show that "almost always" the limiting measures are purely singular continuous. Besides we find the conditions under which the limiting measures belong to one of the spectral type: pure singular continuous, pure point, or pure absolutely continuous.
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| Date |
2010-02-02T13:00:43Z
2010-02-02T13:00:43Z 2009 |
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| Type |
Article
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| Identifier |
Origination of the singular continuous spectrum in the conflict dynamical systems / T. Karataieva, V. Koshmanenko // Methods of Functional Analysis and Topology. — 2009. — 15, N 1. — С. 15-30. — Бібліогр.: 25 назв. — англ.
1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5703 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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