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Synchronization in Complex Systems  

Bae, Young-Chul (Division of Electron Communication and Electrical Engineering, Yosu University)
Kim, Chun-Suk (Division of Electron Communication and Eletrical Engineering, Yosu National University)
Koo, Young-Duk (KISTI)
Abstract
In this paper, we introduce a complex systems synchronization method using hyper-chaos circuit consist of State-Controlled Cellular Neural Network (SC-CNN). We make a complex systems using SC-CNN with the n-double scroll. A complex system is created by applying identical n-double scroll or non-identical n-double scroll and Chua's oscillator with weak coupled method to each cell. Complex systems synchronization were achieved using GS(Generalized Synchronization) method between the transmitter and receiver about each state variable in the SC-CNN.
Keywords
Chaos; Complex System; Generalized Synchronization; Nonlinear Dynamics;
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1 L. O. Chua, M. Itoh, L. Kocarev, and K. Eckert, 'Chaos Synchronization in Chua's Circuit'J. Circuit. Systems and computers, vol. 3, no. 1, pp. 93-108, 1993   DOI
2 L. Kocarev, 'Chaos-based cryptography: A brief overview', IEEE, VoI. pp. 7-21. 2001
3 J.A.K.Suykens,'"n-Double Scroll Hypercubes in I-D CNNs' Int. J. Bifurcation and Chaos, voI. 7, no. 8, pp. 1873-1885, 1997   DOI   ScienceOn
4 L. M. Pecora and T. L. Carroll 'Synchronization in Chaotic System' Phy. Rev. Lett., vol. 64, no. 8, pp. 821-824, 1990   DOI   ScienceOn
5 P. Arena, S. Baglio, L. Fortuna and G. Maganaro, 'Chua's circuit can be generated by CNN cell', IEEE Trans. Circuit and Systems 1, CAS-42, pp. 123-125.1995
6 J.J. Slotine & W.Li,'Applied Nonlinear Control', Prentice-Hall, NJ, 1991
7 Y.C. Bae, J.W. Kim,H.H. Song,Y.H. Kim, 'A study on secure communication in hyper-chaos with SC-CNN using embedding method', Int. J. Maritime Information and Communication Science vol. 1, no.4, pp. 223-228, 2003   DOI   ScienceOn
8 L. Kocarav, L & U. Parlitz, 'Generalized synchronization, predictability and equivalence of unidirectionally coupled dynamical systems', Phys. Rev. Lett, voI. 76, no. 11, pp. 1816-1819, 1996
9 K. M. Short, 'Unmasking a modulated chaotic communications scheme', Int. J. Bifurcation and Chaos, vol. 6, no. 2, pp. 367-375, 1996   DOI
10 P.Arena, P.Baglio, F.Fortuna & G.Manganaro, 'Generation of n-double scrolls via cellular neural networks', Int. J. Circuit Theory Appl, 24, 241-252,1996
11 J.A.k. Suyken, P.F. Curran & L.O. Chua, 'Masterslave synchronization using dynamic output feedback', Int. J. Bifurcation and Chaos, vol. 7, no. 3, pp. 671-679,1997   DOI   ScienceOn
12 K. M. Cuomo, 'Synthesizing Self - Synchronizing Chaotic Array', Int. J.Bifurcation and Chaos, vol. 4, no. 3,pp. 727-736,1993
13 L. O. Chua'Chua's circuit 10 Years Later', Int. J. Circuit Theory and Application, voI. 22, pp 79-305, 1994
14 M. Brucoli, D. Cafagna, L. Camimeo & G. Grassi, 'An efficient technique for signal masking using synchronized hyperchaos circuits', Proc. 5\{^t^h} Int. workshop on Nonlinear Dynamics of Electronic Systems(NDES '97), Moscow, Russia, June 26-27, pp.229-232, 1997
15 M. Itoh, K. Komeyama, A. Ikeda and L. O. Chua, 'Chaos Synchronization in Coupled Chua Circuits', IEICE. NLP. 92-51. pp. 33-40. 1992
16 K. S. Halle, C. W. Wu, M. Itoh and L. O. Chua, 'Spread Spectnun communication through modulation of chaos' Int. J. Bifurcation and Chaos, vol. 3, no. 2, pp. 469-477, 1993   DOI   ScienceOn
17 M. Itoh, H. Murakami and L. O. Chua, 'Communication System Via Chaotic Modulations' IEICE. Trans. Fundamenrtals. voI. En-A, no. 6, pp. 1000-1005, 1994.
18 Y.C. Bae, J.W. Kim,H.H. Song,Y.H. Kim, 'A study on general ized synchronization in hyper-chaos with SC-CNN', Int. J. Maritime Information and Communication Science, vol. 1, no.4, pp. 217-222, 2003
19 L. Kocarev, K. S. Halle, K. Eckert and L. O. Chua, 'Expermental Demonstration of Secure Communication via Chaotic Synchronization' Int. J. Bifurcation and Chaos, voI.2, no. 3, pp. 709-713, 1992   DOI