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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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/5703 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-5703 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems |
| spellingShingle |
Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems Karataieva, T. Koshmanenko, V. |
| title_short |
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_sort |
origination of the singular continuous spectrum in the conflict dynamical systems |
| author |
Karataieva, T. Koshmanenko, V. |
| author_facet |
Karataieva, T. Koshmanenko, V. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/5703 |
| 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. |
| work_keys_str_mv |
AT karataievat originationofthesingularcontinuousspectrumintheconflictdynamicalsystems AT koshmanenkov originationofthesingularcontinuousspectrumintheconflictdynamicalsystems |
| first_indexed |
2025-12-07T18:05:56Z |
| last_indexed |
2025-12-07T18:05:56Z |
| _version_ |
1850873748516765696 |