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Synchronization of Fuzzy Modeling Chaotic Time Delay Memristor-Based Chua’s Circuits with Application to Secure Communication

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Abstract

In this paper, synchronization of fuzzy modeling chaotic time delay memristor-based Chua’s circuits is presented. Based on T–S fuzzy models, not only fuzzy model of the time delay memristor-based Chua’ circuit is constructed but the fuzzy control vector can also be derived to synchronize two different time delay memristor-based Chua’s circuits. Due to the dynamical behavior with complex transient transitions of the memristor-based chaotic system which is heavily dependent on the initial state of the memristor except for the circuit parameters, the memristor-based chaotic system can generate more complex and unpredictable time domain signals. An application to chaos secure communication is used to demonstrate the effectiveness of the proposed chaotic synchronization scheme.

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Acknowledgments

This work is supported by the National Science Council of the Republic of China, under Grant NSC 102-2221-E-035-061-.

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Correspondence to Tsung-Chih Lin.

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Lin, TC., Huang, FY., Du, Z. et al. Synchronization of Fuzzy Modeling Chaotic Time Delay Memristor-Based Chua’s Circuits with Application to Secure Communication. Int. J. Fuzzy Syst. 17, 206–214 (2015). https://doi.org/10.1007/s40815-015-0024-5

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  • DOI: https://doi.org/10.1007/s40815-015-0024-5

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