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Synchronization of time-delayed systems with chaotic modulation and cryptography

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  • Banerjee, Santo

Abstract

This paper presents a method of synchronization between two time-delayed systems where the delay times are modulated by a common chaotic signal of the driving system. The technique is well applied to two identical autonomous continuous-time-delayed systems with numerical simulations. Finally, a new method of encryption is generated for digital messages. This method is illustrated with two different encryption processes for text as well as picture messages.

Suggested Citation

  • Banerjee, Santo, 2009. "Synchronization of time-delayed systems with chaotic modulation and cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 745-750.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:745-750
    DOI: 10.1016/j.chaos.2009.02.015
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    References listed on IDEAS

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    1. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2005. "Parameter mismatches, variable delay times and synchronization in time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 325-331.
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    3. Chien, Tsun-I & Liao, Teh-Lu, 2005. "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 241-255.
    4. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    5. Ahmad, Wajdi M., 2006. "A simple multi-scroll hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1213-1219.
    6. Zhu, Wei & Xu, Daoyi & Huang, Yumei, 2008. "Global impulsive exponential synchronization of time-delayed coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 904-912.
    7. Feng, Cun-Fang & Zhang, Yan & Sun, Jin-Tu & Qi, Wei & Wang, Ying-Hai, 2008. "Generalized projective synchronization in time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 743-747.
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