Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit
This paper presents a general synchronization technique and an amplitude modulation of chaotic generators. Conventional synchronization and antisynchronization are considered a very narrow subset from the proposed technique where the scale between the output response and the input response can be co...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/758676 |
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| author | A. G. Radwan K. Moaddy I. Hashim |
| author_facet | A. G. Radwan K. Moaddy I. Hashim |
| author_sort | A. G. Radwan |
| collection | DOAJ |
| description | This paper presents a general synchronization technique and an amplitude modulation of chaotic generators. Conventional synchronization and antisynchronization are considered a very narrow subset from the proposed technique where the scale between the output response and the input response can be controlled via control functions and this scale may be either constant (positive, negative) or time dependent. The concept of the proposed technique is based on the nonlinear control theory and Lyapunov stability theory. The nonlinear controller is designed to ensure the stability and convergence of the proposed synchronization scheme. This technique is applied on the synchronization of two identical fractional-order Chua's circuit systems with memristor. Different examples are studied numerically with different system parameters, different orders, and with five alternative cases where the scaling functions are chosen to be positive/negative and constant/dynamic which covers all possible cases from conventional synchronization to the amplitude modulation cases to validate the proposed concept. |
| format | Article |
| id | doaj-art-292786c3434a4fffbe2eb1140ac55f9b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-292786c3434a4fffbe2eb1140ac55f9b2025-02-03T05:53:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/758676758676Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's CircuitA. G. Radwan0K. Moaddy1I. Hashim2Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza 12613, EgyptDepartment of Mathematics, Faculty of Science and Arts, Shaqra University, Saudi ArabiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaThis paper presents a general synchronization technique and an amplitude modulation of chaotic generators. Conventional synchronization and antisynchronization are considered a very narrow subset from the proposed technique where the scale between the output response and the input response can be controlled via control functions and this scale may be either constant (positive, negative) or time dependent. The concept of the proposed technique is based on the nonlinear control theory and Lyapunov stability theory. The nonlinear controller is designed to ensure the stability and convergence of the proposed synchronization scheme. This technique is applied on the synchronization of two identical fractional-order Chua's circuit systems with memristor. Different examples are studied numerically with different system parameters, different orders, and with five alternative cases where the scaling functions are chosen to be positive/negative and constant/dynamic which covers all possible cases from conventional synchronization to the amplitude modulation cases to validate the proposed concept.http://dx.doi.org/10.1155/2013/758676 |
| spellingShingle | A. G. Radwan K. Moaddy I. Hashim Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit Abstract and Applied Analysis |
| title | Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit |
| title_full | Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit |
| title_fullStr | Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit |
| title_full_unstemmed | Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit |
| title_short | Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit |
| title_sort | amplitude modulation and synchronization of fractional order memristor based chua s circuit |
| url | http://dx.doi.org/10.1155/2013/758676 |
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