Complexity Analysis of a Mixed Memristive Chaotic Circuit
In this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stab...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8639470 |
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| author | Xiaolin Ye Jun Mou Chunfeng Luo Feifei Yang Yinghong Cao |
| author_facet | Xiaolin Ye Jun Mou Chunfeng Luo Feifei Yang Yinghong Cao |
| author_sort | Xiaolin Ye |
| collection | DOAJ |
| description | In this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stability of the chaotic system were analyzed, and the distribution of stable and unstable regions corresponding to the memristor initial states was determined. Then, we analyze the dynamical behaviors with the initial states of the memristors and the circuit parameter of the circuit system, respectively. By using spectral entropy (SE) and C0 complexity algorithms, the dynamic characteristics of the system were analyzed. In particular, the 2D and 3D complexity characteristics with multiple varying parameters were analyzed. Some peculiar physical phenomenon such as coexisting attractors was observed. Theoretical analysis and simulation results show that the chaotic circuit has rich dynamical behaviors. The complicated physical phenomenon in the new chaotic circuit enriches the related content of chaotic circuit with memristors. |
| format | Article |
| id | doaj-art-3eb7c2b7fe7f40a49a2775daf87b4f12 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3eb7c2b7fe7f40a49a2775daf87b4f122025-02-03T01:30:46ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/86394708639470Complexity Analysis of a Mixed Memristive Chaotic CircuitXiaolin Ye0Jun Mou1Chunfeng Luo2Feifei Yang3Yinghong Cao4School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, ChinaSchool of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, ChinaIn this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stability of the chaotic system were analyzed, and the distribution of stable and unstable regions corresponding to the memristor initial states was determined. Then, we analyze the dynamical behaviors with the initial states of the memristors and the circuit parameter of the circuit system, respectively. By using spectral entropy (SE) and C0 complexity algorithms, the dynamic characteristics of the system were analyzed. In particular, the 2D and 3D complexity characteristics with multiple varying parameters were analyzed. Some peculiar physical phenomenon such as coexisting attractors was observed. Theoretical analysis and simulation results show that the chaotic circuit has rich dynamical behaviors. The complicated physical phenomenon in the new chaotic circuit enriches the related content of chaotic circuit with memristors.http://dx.doi.org/10.1155/2018/8639470 |
| spellingShingle | Xiaolin Ye Jun Mou Chunfeng Luo Feifei Yang Yinghong Cao Complexity Analysis of a Mixed Memristive Chaotic Circuit Complexity |
| title | Complexity Analysis of a Mixed Memristive Chaotic Circuit |
| title_full | Complexity Analysis of a Mixed Memristive Chaotic Circuit |
| title_fullStr | Complexity Analysis of a Mixed Memristive Chaotic Circuit |
| title_full_unstemmed | Complexity Analysis of a Mixed Memristive Chaotic Circuit |
| title_short | Complexity Analysis of a Mixed Memristive Chaotic Circuit |
| title_sort | complexity analysis of a mixed memristive chaotic circuit |
| url | http://dx.doi.org/10.1155/2018/8639470 |
| work_keys_str_mv | AT xiaolinye complexityanalysisofamixedmemristivechaoticcircuit AT junmou complexityanalysisofamixedmemristivechaoticcircuit AT chunfengluo complexityanalysisofamixedmemristivechaoticcircuit AT feifeiyang complexityanalysisofamixedmemristivechaoticcircuit AT yinghongcao complexityanalysisofamixedmemristivechaoticcircuit |