Absorbers: Definitions, properties and applications
Roughly speaking, the absorber is a set, which includes, after finite number of initial states, each trajectory of a transformation of space into itself. This paper deals with the exact definition of absorbers for linear operators, the study of the properties, the applications to “classical” dynamic...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022697000290 |
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| _version_ | 1832563360651018240 |
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| author | G. Belitskii |
| author_facet | G. Belitskii |
| author_sort | G. Belitskii |
| collection | DOAJ |
| description | Roughly speaking, the absorber is a set, which includes, after finite number of initial states, each trajectory of a transformation of space into itself. This paper deals with the exact definition of absorbers for linear operators, the study of the properties, the applications to “classical” dynamics and to solvability of operator equations. It is expected that the description of the structure of absorbers will add new insights to the recent discussion of nature and content of notion of attractiveness for nonlinear dynamics. |
| format | Article |
| id | doaj-art-62e13012a0984307bcd34a6b1985fc82 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-62e13012a0984307bcd34a6b1985fc822025-02-03T01:20:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-011430731310.1155/S1026022697000290Absorbers: Definitions, properties and applicationsG. Belitskii0Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, IsraelRoughly speaking, the absorber is a set, which includes, after finite number of initial states, each trajectory of a transformation of space into itself. This paper deals with the exact definition of absorbers for linear operators, the study of the properties, the applications to “classical” dynamics and to solvability of operator equations. It is expected that the description of the structure of absorbers will add new insights to the recent discussion of nature and content of notion of attractiveness for nonlinear dynamics.http://dx.doi.org/10.1155/S1026022697000290AbsorbersInduced dynamicsFunctional equations. |
| spellingShingle | G. Belitskii Absorbers: Definitions, properties and applications Discrete Dynamics in Nature and Society Absorbers Induced dynamics Functional equations. |
| title | Absorbers: Definitions, properties and applications |
| title_full | Absorbers: Definitions, properties and applications |
| title_fullStr | Absorbers: Definitions, properties and applications |
| title_full_unstemmed | Absorbers: Definitions, properties and applications |
| title_short | Absorbers: Definitions, properties and applications |
| title_sort | absorbers definitions properties and applications |
| topic | Absorbers Induced dynamics Functional equations. |
| url | http://dx.doi.org/10.1155/S1026022697000290 |
| work_keys_str_mv | AT gbelitskii absorbersdefinitionspropertiesandapplications |