Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors
Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has differe...
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| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8034196 |
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| author | Fei Yu Li Liu Shuai Qian Lixiang Li Yuanyuan Huang Changqiong Shi Shuo Cai Xianming Wu Sichun Du Qiuzhen Wan |
| author_facet | Fei Yu Li Liu Shuai Qian Lixiang Li Yuanyuan Huang Changqiong Shi Shuo Cai Xianming Wu Sichun Du Qiuzhen Wan |
| author_sort | Fei Yu |
| collection | DOAJ |
| description | Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs. |
| format | Article |
| id | doaj-art-1a854256ad014e99a6a2dbc40a24eddf |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1a854256ad014e99a6a2dbc40a24eddf2025-08-20T03:54:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/80341968034196Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple AttractorsFei Yu0Li Liu1Shuai Qian2Lixiang Li3Yuanyuan Huang4Changqiong Shi5Shuo Cai6Xianming Wu7Sichun Du8Qiuzhen Wan9School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaCollege of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, ChinaCollege of Information Science and Engineering, Hunan Normal University, Changsha 410081, ChinaNovel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.http://dx.doi.org/10.1155/2020/8034196 |
| spellingShingle | Fei Yu Li Liu Shuai Qian Lixiang Li Yuanyuan Huang Changqiong Shi Shuo Cai Xianming Wu Sichun Du Qiuzhen Wan Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors Complexity |
| title | Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors |
| title_full | Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors |
| title_fullStr | Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors |
| title_full_unstemmed | Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors |
| title_short | Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors |
| title_sort | chaos based application of a novel multistable 5d memristive hyperchaotic system with coexisting multiple attractors |
| url | http://dx.doi.org/10.1155/2020/8034196 |
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