Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers
This paper is concerned with anticontrol of chaos for a class of delay difference equations via the feedback control technique. The controlled system is first reformulated into a high-dimensional discrete dynamical system. Then, a chaotification theorem based on the heteroclinic cycles connecting re...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/260150 |
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| _version_ | 1832545506551660544 |
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| author | Zongcheng Li |
| author_facet | Zongcheng Li |
| author_sort | Zongcheng Li |
| collection | DOAJ |
| description | This paper is concerned with anticontrol of chaos for a class of delay difference equations via the feedback control technique. The controlled system is first reformulated into a high-dimensional discrete dynamical system. Then, a chaotification theorem based on the heteroclinic cycles connecting repellers for maps is established. The controlled system is proved to be chaotic in the sense of both Devaney and Li-Yorke. An illustrative example is provided with computer simulations. |
| format | Article |
| id | doaj-art-531bbb956e2b4bb5bd6d65a5cabb9d45 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-531bbb956e2b4bb5bd6d65a5cabb9d452025-02-03T07:25:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/260150260150Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting RepellersZongcheng Li0School of Science, Shandong Jianzhu University, Jinan, Shandong 250101, ChinaThis paper is concerned with anticontrol of chaos for a class of delay difference equations via the feedback control technique. The controlled system is first reformulated into a high-dimensional discrete dynamical system. Then, a chaotification theorem based on the heteroclinic cycles connecting repellers for maps is established. The controlled system is proved to be chaotic in the sense of both Devaney and Li-Yorke. An illustrative example is provided with computer simulations.http://dx.doi.org/10.1155/2014/260150 |
| spellingShingle | Zongcheng Li Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers Abstract and Applied Analysis |
| title | Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers |
| title_full | Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers |
| title_fullStr | Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers |
| title_full_unstemmed | Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers |
| title_short | Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers |
| title_sort | anticontrol of chaos for a class of delay difference equations based on heteroclinic cycles connecting repellers |
| url | http://dx.doi.org/10.1155/2014/260150 |
| work_keys_str_mv | AT zongchengli anticontrolofchaosforaclassofdelaydifferenceequationsbasedonheterocliniccyclesconnectingrepellers |