Grid chaotic attractors based on arc tangent and its secure communication
A smooth arc tangent function series approach for creating multi-directional multi-scroll grid chaotic attractors was proposed,including one-directional n-scroll,two-directional n×m-grid scroll,and three-directional n×m×l-grid scroll chaotic attractors.The chotic properties were studied by equilibri...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2014-12-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.12.013/ |
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| _version_ | 1841539761391534080 |
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| author | Xue-zhi MAO Yong XU Jian-ping LIU Hui-quan MA |
| author_facet | Xue-zhi MAO Yong XU Jian-ping LIU Hui-quan MA |
| author_sort | Xue-zhi MAO |
| collection | DOAJ |
| description | A smooth arc tangent function series approach for creating multi-directional multi-scroll grid chaotic attractors was proposed,including one-directional n-scroll,two-directional n×m-grid scroll,and three-directional n×m×l-grid scroll chaotic attractors.The chotic properties were studied by equilibrium points analysis,numerical simulation,Lyapunov exponents spectrum,bifurcation diagrams and Poincaré section diagrams.Synchronize the two grid multi-scroll chaotic systems with same structure by designing simple linear feedback control lows,which is applied to secure communication.The effectiveness of this method has been verified by simple analysis and numerical simulation. |
| format | Article |
| id | doaj-art-b5fec87b0eb24cfab952937f490b97fd |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2014-12-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-b5fec87b0eb24cfab952937f490b97fd2025-01-14T06:44:36ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2014-12-013510611559687528Grid chaotic attractors based on arc tangent and its secure communicationXue-zhi MAOYong XUJian-ping LIUHui-quan MAA smooth arc tangent function series approach for creating multi-directional multi-scroll grid chaotic attractors was proposed,including one-directional n-scroll,two-directional n×m-grid scroll,and three-directional n×m×l-grid scroll chaotic attractors.The chotic properties were studied by equilibrium points analysis,numerical simulation,Lyapunov exponents spectrum,bifurcation diagrams and Poincaré section diagrams.Synchronize the two grid multi-scroll chaotic systems with same structure by designing simple linear feedback control lows,which is applied to secure communication.The effectiveness of this method has been verified by simple analysis and numerical simulation.http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.12.013/chaos synchronizationsecure communicationgrid multi-scroll chaotic attractorsarc tangent function series |
| spellingShingle | Xue-zhi MAO Yong XU Jian-ping LIU Hui-quan MA Grid chaotic attractors based on arc tangent and its secure communication Tongxin xuebao chaos synchronization secure communication grid multi-scroll chaotic attractors arc tangent function series |
| title | Grid chaotic attractors based on arc tangent and its secure communication |
| title_full | Grid chaotic attractors based on arc tangent and its secure communication |
| title_fullStr | Grid chaotic attractors based on arc tangent and its secure communication |
| title_full_unstemmed | Grid chaotic attractors based on arc tangent and its secure communication |
| title_short | Grid chaotic attractors based on arc tangent and its secure communication |
| title_sort | grid chaotic attractors based on arc tangent and its secure communication |
| topic | chaos synchronization secure communication grid multi-scroll chaotic attractors arc tangent function series |
| url | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.12.013/ |
| work_keys_str_mv | AT xuezhimao gridchaoticattractorsbasedonarctangentanditssecurecommunication AT yongxu gridchaoticattractorsbasedonarctangentanditssecurecommunication AT jianpingliu gridchaoticattractorsbasedonarctangentanditssecurecommunication AT huiquanma gridchaoticattractorsbasedonarctangentanditssecurecommunication |