Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios
We investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/681565 |
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| _version_ | 1832560864955203584 |
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| author | Viktor Avrutin Michael Schanz Björn Schenke |
| author_facet | Viktor Avrutin Michael Schanz Björn Schenke |
| author_sort | Viktor Avrutin |
| collection | DOAJ |
| description | We investigate the structure of the chaotic domain of a
specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario
whereas the other one by the period-increment scenario with coexisting attractors. In the chaotic domain, the influence of both adjacent periodic domains leads to the coexistence of the recently discovered bandcount
adding and bandcount-increment scenarios. In this work, we focus on the explanation of the overall structure of the chaotic domain and a description of the bandcount adding and bandcount increment scenarios. |
| format | Article |
| id | doaj-art-4c990183020942f0a79f54ef59a9c6a3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4c990183020942f0a79f54ef59a9c6a32025-02-03T01:26:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/681565681565Coexistence of the Bandcount-Adding and Bandcount-Increment ScenariosViktor Avrutin0Michael Schanz1Björn Schenke2IPVS, University of Stuttgart, Universitätstrasse 38, 70569 Stuttgart, GermanyIPVS, University of Stuttgart, Universitätstrasse 38, 70569 Stuttgart, GermanyIPVS, University of Stuttgart, Universitätstrasse 38, 70569 Stuttgart, GermanyWe investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by the period-increment scenario with coexisting attractors. In the chaotic domain, the influence of both adjacent periodic domains leads to the coexistence of the recently discovered bandcount adding and bandcount-increment scenarios. In this work, we focus on the explanation of the overall structure of the chaotic domain and a description of the bandcount adding and bandcount increment scenarios.http://dx.doi.org/10.1155/2011/681565 |
| spellingShingle | Viktor Avrutin Michael Schanz Björn Schenke Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios Discrete Dynamics in Nature and Society |
| title | Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios |
| title_full | Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios |
| title_fullStr | Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios |
| title_full_unstemmed | Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios |
| title_short | Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios |
| title_sort | coexistence of the bandcount adding and bandcount increment scenarios |
| url | http://dx.doi.org/10.1155/2011/681565 |
| work_keys_str_mv | AT viktoravrutin coexistenceofthebandcountaddingandbandcountincrementscenarios AT michaelschanz coexistenceofthebandcountaddingandbandcountincrementscenarios AT bjornschenke coexistenceofthebandcountaddingandbandcountincrementscenarios |