A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation
This paper is expected to introduce a novel memductor-based chaotic system. The local dynamical entities, such as the basic dynamical behavior, the divergence, the stability of equilibrium set, and the Lyapunov exponent, are all investigated analytically and numerically to reveal the dynamic charact...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3870327 |
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| _version_ | 1832566745302302720 |
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| author | Li Xiong Yanjun Lu Yongfang Zhang Xinguo Zhang |
| author_facet | Li Xiong Yanjun Lu Yongfang Zhang Xinguo Zhang |
| author_sort | Li Xiong |
| collection | DOAJ |
| description | This paper is expected to introduce a novel memductor-based chaotic system. The local dynamical entities, such as the basic dynamical behavior, the divergence, the stability of equilibrium set, and the Lyapunov exponent, are all investigated analytically and numerically to reveal the dynamic characteristics of the new memductor-based chaotic system as the system parameters and the initial state of memristor change. Subsequently, an active control method is derived to study the synchronous stability of the novel memductor-based chaotic system through making the synchronization error system asymptotically stable at the origin. Further to these, a memductor-based chaotic circuit is designed, realized, and applied to construct a new memductor-based secure communication circuit by employing the basic electronic components and memristor. Furthermore, the design principle of the memductor-based chaotic circuit is thoroughly analyzed and the concept of “the memductor-based chaotic circuit defect quantification index” is proposed for the first time to verify whether the chaotic output is consistent with the mathematical model. A good qualitative agreement is shown between the simulations and the experimental validation results. |
| format | Article |
| id | doaj-art-2f76a17cc73e471b96e15ce47c228da7 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2f76a17cc73e471b96e15ce47c228da72025-02-03T01:03:15ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/38703273870327A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental ValidationLi Xiong0Yanjun Lu1Yongfang Zhang2Xinguo Zhang3School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Information Science and Engineering, Lanzhou University, Lanzhou 730000, ChinaThis paper is expected to introduce a novel memductor-based chaotic system. The local dynamical entities, such as the basic dynamical behavior, the divergence, the stability of equilibrium set, and the Lyapunov exponent, are all investigated analytically and numerically to reveal the dynamic characteristics of the new memductor-based chaotic system as the system parameters and the initial state of memristor change. Subsequently, an active control method is derived to study the synchronous stability of the novel memductor-based chaotic system through making the synchronization error system asymptotically stable at the origin. Further to these, a memductor-based chaotic circuit is designed, realized, and applied to construct a new memductor-based secure communication circuit by employing the basic electronic components and memristor. Furthermore, the design principle of the memductor-based chaotic circuit is thoroughly analyzed and the concept of “the memductor-based chaotic circuit defect quantification index” is proposed for the first time to verify whether the chaotic output is consistent with the mathematical model. A good qualitative agreement is shown between the simulations and the experimental validation results.http://dx.doi.org/10.1155/2019/3870327 |
| spellingShingle | Li Xiong Yanjun Lu Yongfang Zhang Xinguo Zhang A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation Complexity |
| title | A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation |
| title_full | A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation |
| title_fullStr | A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation |
| title_full_unstemmed | A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation |
| title_short | A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation |
| title_sort | novel memductor based chaotic system and its applications in circuit design and experimental validation |
| url | http://dx.doi.org/10.1155/2019/3870327 |
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