A generalized synchronization theorem for an array of differential equations with application to secure communication

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 15, Issue 1, 2005, Pages 119-135

  Min, Lequan ^a   Zhang, Xiaodan ^a   Chen, Guanrong ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Array of differential equations; Chua's CNN; Generalized chaos synchronization; Secure communication

Indexed keywords

CHAOS THEORY; DIGITAL COMMUNICATION SYSTEMS; IMAGE COMMUNICATION SYSTEMS; MATHEMATICAL MODELS; SYNCHRONIZATION; THEOREM PROVING;

ARRAY OF DIFFERENTIAL EQUATIONS; CHUA'S CNN; GENERALIZED CHAOS SYNCHRONIZATION; SECURE COMMUNICATIONS;

DIFFERENTIAL EQUATIONS;

EID: 17044438185     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405012053     Document Type: Article

References (17)

1. Chen, G. & Dong, X. [1998] From Chaos to Order. Methodologies, Perspectively and Applications (World Scientific, Singapore).
2. Chua, L. O., Hasler, M., Moschytz, G. S. & Neirynck, J. [1995] "Autonomous cellular neural networks: a unified paradigm for pattern formation and active wave propagation," IEEE Trans. Circuits Syst.-I: Fundam. Th. Appl. 42, 559-577.
3. Feldmann, U., Halser, M. & Schwarz, W. [1996] "Communication by chaotic signals: The inverse systems approach," Int. J. Circuit Th. Appl. 24, 551-579.
4. Hunt, B. R., Ott, E. & York, J. A. [1997] "Differentialble generalized synchronization of chao," Phys. Rev. E55, 4029-4034.
5. Kawata, J., Nishio, Y., Dedieu, H. & Ushida, A. [1999] "Performance compariasion of communication systems using chaos synchronization," IEICE Trans. Fund. E82-A, 1322-1328.
6. Kocarev, L. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communications," Phys. Rev. Lett. 74, 5028-5031.
7. Kocarev, L. & Parlitz, U. [1996] "Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems," Phys. Rev. Lett. 76, 1816-1819.
8. Min, L., Zhang, X. & Yang, M. [2003] "Secure communication by generalized chaotic synchronization," J. Univ. Sci. Tech. Beijing 10, 75-78.
9. Murali, K. & Laskshmanan, M. [1998] "Secure communication using a compound signal from generalized synchronizable systems," Phys. Lett. A241, 303-310.
10. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
11. Special issue [2002] "Application of nonlinear dynamics to electronic and information engineering," Proc. IEEE 90 (5).
12. Wu, C. W. & Chua, L. O. [1993] "Transmission of digital signals by chaotic synchronization," Int. J. Bifurcation and Chaos 3, 1619-1627.
13. Wu, C. W. & Chua, L. O. [1994] "A unified framework for synchronization and control of dynamic systems," Int. J. Bifurcation and Chaos 4, 430-447.
14. Wu, C. W., Yang, T. & Chua, L. O. [1996] "On adaptive synchronization and control of nonlinear dynamical systems," Int. J. Bifurcation and Chaos 6, 1619-1627.
15. Yang, T. & Chua, L. O. [1996] "Channel-independent chaotic secure communication," Int. J. Bifurcation and Chaos 6, 2653-2660.
16. Yang, T. & Chua, L. O. [1999] "Generalized synchronization of chaos via linear transformations," Int. J. Bifurcation and Chaos 9, 215-219.
17. Zhang, X. & Min, L. [2000] "Theory for constructing generalized synchronization and applications," J. Univ. Sci. Tech. Beijing 7, 225-228.