Secret Communications Using Synchronized Sixth-Order Chuas's Circuits
In this paper, we use Generalized Hamiltonian systems approach to synchronize a modified sixth-order Chua's circuit, which generates hyperchaotic dynamics. Synchronization is obtained between the master and slave dynamics with the slave being given by an observer. We apply this approach to transmit private information (analog and binary), while the encoding remains potentially secure.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1084576Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1098
 L. M. Pecora and T.L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824 (1990).
 L. M. Pecora and T. L. Carroll, "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. A 44, (1991).
 Special Issue on Chaos synchronization and control: Theory and applications, IEEE Trans. Circuits Syst. I, 44, (1997).
 Special Issue on Control and synchronization of chaos, Int. J. Bifurc. Chaos, 10, (2000).
 C. Cruz-Hern├índez and H. Nijmeijer, "Synchronization through filtering," Int. J. Bifurc. Chaos, 10, 763-775 (2000). Synchronization through extended Kalman filtering. In: Nijmeijer H, Fossen TI, editors. New trends in nonlinear observer design. Lecture notes in control and information sciences, 244 London: Springer; 469-490, (1999).
 H. Sira-Ram├¡rez and C. Cruz-Hern├índez, "Synchronization of chaotic systems: a generalized Hamiltonian systems approach," Int. J. Bifurc. Chaos, 11, 1381-1395 (2001). And in: Proceedings of the American Control Conference, Chicago, USA, 769-773 (2000).
 D. L├│pez-Mancilla and C. Cruz-Hern├índez, "Output synchronization of chaotic systems: model-matching approach with application to secure communication," Nonlinear Dynamics and Systems Theory, 5, 141-15 (2005).
 U. Feldmann, M. Hasler and W. Schwarz, "Communication by chaotic signals: the inverse system approach," Int. J. Circuits Theory and Applications, 24, 551-579 (1996).
 H. Nijmeijer and I. M. Y. Mareels, "An observer looks at synchronization," IEEE Trans. Circuits Syst. I, 44, 882-890 (1997).
 K. M. Cuomo and A.V. Oppenheim, "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. Lett., 71, 65-68 (1993).
 K. M. Cuomo, A.V. Oppenheim and S. H. Strogatz, "Synchronization of Lorenz-based chaotic circuits with applications to communications," IEEE Trans. Circuits Syst. I, 40, 626-633 (1993).
 C. Posadas-Castillo, C. Cruz-Hern├índez and R. N├║├▒ez, "Experimental realization of binary signals transmission based on synchronized Lorenz circuits," J Appl Res Technol, 2, 127-137 (2004).
 C. Cruz-Hern├índez, D. L├│pez-Mancilla, V. Garc├¡a, H. Serrano and R. N├║├▒ez, "Experimental realization of binary signal transmission using chaos," J. Circ. Syst. Comput, 14, 453-468 (2005).
Parlitz U., Chua L.O., Kocarev Lj., Halle K.S. and Shang, A. (1992). Transmission of digital signals by chaotic synchronization. Int. J. Bifurc. Chaos 2(4):973-977.
 Yang T. and Chua L.O. (1996). Secure communication via chaotic parameter modulation. IEEE Trans. Circuits Syst. I 44(5):817-819.
 Short K. (1996). Unmasking a modulated chaotic communication scheme. Int. J. Bifurc. Chaos 6(2):367-375.
 Pérez G. and Cerdeira H.A. Extracting messages masked by chaos Phys. Rev. Lett. 74:1970-1973. (1995)
 Cruz-Hern├índez C., Posadas C. and Sira-Ram├¡rez H. Synchronization of two hyperchaotic Chua Circuits: a generalized Hamiltonian systems approach, IFAC-2002, Barcelona, Spain. (2002).
 Cruz-Hern├índez C. Synchronization of Time-Delay Chua-s Oscillator with Application to Secure Communication, Nonlinear Dynamics and Systems Theory, 4(1) (2004) 1-13.
 G├ímez-Guzm├ín L. Cruz-Hern├índez, L├│pez-Gutiérrez R.M. Garc├¡a- Guerrero E.E. Synchronization of Chua-s circuits with multi-scroll attractors: Application to communication, Commun Nonlinear Sci Numer Simulat 14 (2009) 2765-2775.
 Suykens JAK, Huang A, Chua LO. A family of n-scroll attractors from a generalized Chua-s circuit. Archiv Ekektron Uberttragungstech 1997;51(3):131-8.
 Cruz-Hern├índez C., Martynyuk A., Advances in chaotic dynamics with applications, Cambridge Scientific Publishers Ltd., Vol. 4, 2009.