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.
[1] L. M. Pecora and T.L. Carroll, "Synchronization in chaotic systems," Phys.
Rev. Lett. 64, 821-824 (1990).
[2] L. M. Pecora and T. L. Carroll, "Circuit implementation of synchronized
chaos with applications to communications," Phys. Rev. A 44, (1991).
[3] Special Issue on Chaos synchronization and control: Theory and
applications, IEEE Trans. Circuits Syst. I, 44, (1997).
[4] Special Issue on Control and synchronization of chaos, Int. J. Bifurc.
Chaos, 10, (2000).
[5] C. Cruz-Hernández 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).
[6] H. Sira-Ramírez and C. Cruz-Hernández, "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).
[7] D. López-Mancilla and C. Cruz-Hernández, "Output synchronization of
chaotic systems: model-matching approach with application to secure
communication," Nonlinear Dynamics and Systems Theory, 5, 141-15
(2005).
[8] 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).
[9] H. Nijmeijer and I. M. Y. Mareels, "An observer looks at synchronization,"
IEEE Trans. Circuits Syst. I, 44, 882-890 (1997).
[10] K. M. Cuomo and A.V. Oppenheim, "Circuit implementation of
synchronized chaos with applications to communications," Phys. Rev.
Lett., 71, 65-68 (1993).
[11] 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).
[12] C. Posadas-Castillo, C. Cruz-Hernández and R. Núñez, "Experimental
realization of binary signals transmission based on synchronized Lorenz
circuits," J Appl Res Technol, 2, 127-137 (2004).
[13] C. Cruz-Hernández, D. López-Mancilla, V. García, H. Serrano and R.
N├║├▒ez, "Experimental realization of binary signal transmission using
chaos," J. Circ. Syst. Comput, 14, 453-468 (2005).
[14]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.
[15] Yang T. and Chua L.O. (1996). Secure communication via chaotic
parameter modulation. IEEE Trans. Circuits Syst. I 44(5):817-819.
[16] Short K. (1996). Unmasking a modulated chaotic communication scheme.
Int. J. Bifurc. Chaos 6(2):367-375.
[17] Pérez G. and Cerdeira H.A. Extracting messages masked by chaos Phys.
Rev. Lett. 74:1970-1973. (1995)
[18] Cruz-Hernández C., Posadas C. and Sira-Ramírez H. Synchronization of
two hyperchaotic Chua Circuits: a generalized Hamiltonian systems
approach, IFAC-2002, Barcelona, Spain. (2002).
[19] Cruz-Hernández C. Synchronization of Time-Delay Chua-s Oscillator
with Application to Secure Communication, Nonlinear Dynamics and
Systems Theory, 4(1) (2004) 1-13.
[20] 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.
[21] 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.
[22] Cruz-Hernández C., Martynyuk A., Advances in chaotic dynamics with
applications, Cambridge Scientific Publishers Ltd., Vol. 4, 2009.
[1] L. M. Pecora and T.L. Carroll, "Synchronization in chaotic systems," Phys.
Rev. Lett. 64, 821-824 (1990).
[2] L. M. Pecora and T. L. Carroll, "Circuit implementation of synchronized
chaos with applications to communications," Phys. Rev. A 44, (1991).
[3] Special Issue on Chaos synchronization and control: Theory and
applications, IEEE Trans. Circuits Syst. I, 44, (1997).
[4] Special Issue on Control and synchronization of chaos, Int. J. Bifurc.
Chaos, 10, (2000).
[5] C. Cruz-Hernández 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).
[6] H. Sira-Ramírez and C. Cruz-Hernández, "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).
[7] D. López-Mancilla and C. Cruz-Hernández, "Output synchronization of
chaotic systems: model-matching approach with application to secure
communication," Nonlinear Dynamics and Systems Theory, 5, 141-15
(2005).
[8] 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).
[9] H. Nijmeijer and I. M. Y. Mareels, "An observer looks at synchronization,"
IEEE Trans. Circuits Syst. I, 44, 882-890 (1997).
[10] K. M. Cuomo and A.V. Oppenheim, "Circuit implementation of
synchronized chaos with applications to communications," Phys. Rev.
Lett., 71, 65-68 (1993).
[11] 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).
[12] C. Posadas-Castillo, C. Cruz-Hernández and R. Núñez, "Experimental
realization of binary signals transmission based on synchronized Lorenz
circuits," J Appl Res Technol, 2, 127-137 (2004).
[13] C. Cruz-Hernández, D. López-Mancilla, V. García, H. Serrano and R.
N├║├▒ez, "Experimental realization of binary signal transmission using
chaos," J. Circ. Syst. Comput, 14, 453-468 (2005).
[14]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.
[15] Yang T. and Chua L.O. (1996). Secure communication via chaotic
parameter modulation. IEEE Trans. Circuits Syst. I 44(5):817-819.
[16] Short K. (1996). Unmasking a modulated chaotic communication scheme.
Int. J. Bifurc. Chaos 6(2):367-375.
[17] Pérez G. and Cerdeira H.A. Extracting messages masked by chaos Phys.
Rev. Lett. 74:1970-1973. (1995)
[18] Cruz-Hernández C., Posadas C. and Sira-Ramírez H. Synchronization of
two hyperchaotic Chua Circuits: a generalized Hamiltonian systems
approach, IFAC-2002, Barcelona, Spain. (2002).
[19] Cruz-Hernández C. Synchronization of Time-Delay Chua-s Oscillator
with Application to Secure Communication, Nonlinear Dynamics and
Systems Theory, 4(1) (2004) 1-13.
[20] 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.
[21] 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.
[22] Cruz-Hernández C., Martynyuk A., Advances in chaotic dynamics with
applications, Cambridge Scientific Publishers Ltd., Vol. 4, 2009.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64196", author = "López-Gutiérrez R.M. and Rodríguez-Orozco E. and Cruz-Hernández C. and Inzunza-González E. and Posadas-Castillo C. and García-Guerrero E.E. and Cardoza-Avendaño L.", title = "Secret Communications Using Synchronized Sixth-Order Chuas's Circuits", abstract = "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.
", keywords = "Hyperchaos synchronization, sixth-order Chua's circuit, observers, simulation, secure communication.", volume = "3", number = "6", pages = "1406-6", }
