Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems
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...
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| Date: | 2009 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/5703 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716540351152128 |
|---|---|
| author | Karataieva, T. Koshmanenko, V. |
| author_facet | Karataieva, T. Koshmanenko, V. |
| citation_txt | 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. |
| collection | DSpace DC |
| 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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| first_indexed | 2025-12-07T18:05:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5703 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T18:05:56Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Karataieva, T. Koshmanenko, V. 2010-02-02T13:00:43Z 2010-02-02T13:00:43Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5703 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. en Інститут математики НАН України Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems Article published earlier |
| spellingShingle | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems Karataieva, T. Koshmanenko, V. |
| title | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| title_full | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| title_fullStr | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| title_full_unstemmed | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| title_short | Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| title_sort | origination of the singular continuous spectrum in the conflict dynamical systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5703 |
| work_keys_str_mv | AT karataievat originationofthesingularcontinuousspectrumintheconflictdynamicalsystems AT koshmanenkov originationofthesingularcontinuousspectrumintheconflictdynamicalsystems |