Bidirectional Chaotic Synchronization of Non-Autonomous Circuit and its Application for Secure Communication
The nonlinear chaotic non-autonomous fourth order
system is algebraically simple but can generate complex chaotic
attractors. In this paper, non-autonomous fourth order chaotic
oscillator circuits were designed and simulated. Also chaotic nonautonomous
Attractor is addressed suitable for chaotic masking
communication circuits using Matlab® and MultiSIM® programs.
We have demonstrated in simulations that chaos can be synchronized
and applied to signal masking communications. We suggest that this
phenomenon of chaos synchronism may serve as the basis for little
known chaotic non-autonomous Attractor to achieve signal masking
communication applications. Simulation results are used to visualize
and illustrate the effectiveness of non-autonomous chaotic system in
signal masking. All simulations results performed on nonautonomous
chaotic system are verify the applicable of secure
communication.
[1] K.T. Alligood, T.D. Sauer, and J.A. Yorke, Chaos: An Introduction to
Dynamical Systems, New York: Springer-Verlag, 1996.
[2] H.C. Hilborn, Chaos and Nonlinear Dynamics, New York: Oxford
University Press, 1994.
[3] E.N. Lorenz, "Deterministic non-periodic flow," Journal of the
Atmospheric Sciences, vol. 20, pp. 130-141, 1963.
[4] O.E. Rossler, "An equation for continuous chaos," Phys. Lett. A 57, 397-
398, 1976.
[5] C.K. Volos, I.M. Kyprianidis, and I.N. Stouboulos, "Synchronization of
two Mutually Coupled Duffing - type Circuits", International Journal of
Circuit, Systems and Signal processing, vol.1(3), 274-281, 2007.
[6] T. Matsumoto, "A chaotic attractor from Chua's circuit," IEEE Trans.
Circuits Syst., CAS 31(12):1055-1058, 1984.
[7] M.P. Kennedy, "Robust Op Amp Implementation of Chua-s Circuit,"
Frequenz, Vol.46, no.3-4, pp.66-80, 1992.
[8] K.M. Cuomo, and A.V. Oppenheim, "Circuit implementation of
synchronized chaos with applications to communications," Physical
Review Letters, vol. 71, no. 1, pp. 65-68, 1993.
[9] J. C. Feng, and C. K. Tse, Reconstruction of Chaotic Signals with
Applications to Chaos-Based Communications. Tsinghua University
Press and World Scientific Publishing Co. Pte. Ltd., 2007.
[10] I. Pehlivan, and Y. Uyaroglu, "Rikitake Attractor and It-s
Synchronization Application for Secure Communication Systems,"
Journal of Applied Sciences, 7(2):232-236, 2007.
[11] T. H. Lee, and J. H. Park, "Generalized functional projective
synchronization of Chen-Lee chaotic systems and its circuit
implementation," International Journal of the Physical Sciences, Vol.
5(7), pp. 1183-1190, July 2010.
[12] I. Pehlivan, Y. Uyaroglu, and M. Yogun, "Chaotic oscillator design and
realizations of the Rucklidge attractor and its synchronization and
masking simulations," Scientific Research and Essays, Vol. 5(16), pp.
2210-2219, 18 August, 2010.
[13] L. Pecora and T. Carroll, "Synchronization in Chaotic Systems,"
Physical Review Letters, Vol. 64, pp. 821-823, 1990.
[14] L. Pecora and T. Carroll, "Driving systems With Chaotic Signals,"
Physical Review Letters, Vol. 44, pp. 2374-2383, 1991.
[15] M.S. Papadopoulou, I.M. Kyprianidis, and I.N. Stouboulos, "Complex
Chaotic Dynamics of the Double-Bell Attractor," WSEAS Transactions
on Circuit and Systems, vol 7, pp 13-21, 2008.
[1] K.T. Alligood, T.D. Sauer, and J.A. Yorke, Chaos: An Introduction to
Dynamical Systems, New York: Springer-Verlag, 1996.
[2] H.C. Hilborn, Chaos and Nonlinear Dynamics, New York: Oxford
University Press, 1994.
[3] E.N. Lorenz, "Deterministic non-periodic flow," Journal of the
Atmospheric Sciences, vol. 20, pp. 130-141, 1963.
[4] O.E. Rossler, "An equation for continuous chaos," Phys. Lett. A 57, 397-
398, 1976.
[5] C.K. Volos, I.M. Kyprianidis, and I.N. Stouboulos, "Synchronization of
two Mutually Coupled Duffing - type Circuits", International Journal of
Circuit, Systems and Signal processing, vol.1(3), 274-281, 2007.
[6] T. Matsumoto, "A chaotic attractor from Chua's circuit," IEEE Trans.
Circuits Syst., CAS 31(12):1055-1058, 1984.
[7] M.P. Kennedy, "Robust Op Amp Implementation of Chua-s Circuit,"
Frequenz, Vol.46, no.3-4, pp.66-80, 1992.
[8] K.M. Cuomo, and A.V. Oppenheim, "Circuit implementation of
synchronized chaos with applications to communications," Physical
Review Letters, vol. 71, no. 1, pp. 65-68, 1993.
[9] J. C. Feng, and C. K. Tse, Reconstruction of Chaotic Signals with
Applications to Chaos-Based Communications. Tsinghua University
Press and World Scientific Publishing Co. Pte. Ltd., 2007.
[10] I. Pehlivan, and Y. Uyaroglu, "Rikitake Attractor and It-s
Synchronization Application for Secure Communication Systems,"
Journal of Applied Sciences, 7(2):232-236, 2007.
[11] T. H. Lee, and J. H. Park, "Generalized functional projective
synchronization of Chen-Lee chaotic systems and its circuit
implementation," International Journal of the Physical Sciences, Vol.
5(7), pp. 1183-1190, July 2010.
[12] I. Pehlivan, Y. Uyaroglu, and M. Yogun, "Chaotic oscillator design and
realizations of the Rucklidge attractor and its synchronization and
masking simulations," Scientific Research and Essays, Vol. 5(16), pp.
2210-2219, 18 August, 2010.
[13] L. Pecora and T. Carroll, "Synchronization in Chaotic Systems,"
Physical Review Letters, Vol. 64, pp. 821-823, 1990.
[14] L. Pecora and T. Carroll, "Driving systems With Chaotic Signals,"
Physical Review Letters, Vol. 44, pp. 2374-2383, 1991.
[15] M.S. Papadopoulou, I.M. Kyprianidis, and I.N. Stouboulos, "Complex
Chaotic Dynamics of the Double-Bell Attractor," WSEAS Transactions
on Circuit and Systems, vol 7, pp 13-21, 2008.
@article{"International Journal of Electrical, Electronic and Communication Sciences:57885", author = "Mada Sanjaya and Halimatussadiyah and Dian Syah Maulana", title = "Bidirectional Chaotic Synchronization of Non-Autonomous Circuit and its Application for Secure Communication", abstract = "The nonlinear chaotic non-autonomous fourth order
system is algebraically simple but can generate complex chaotic
attractors. In this paper, non-autonomous fourth order chaotic
oscillator circuits were designed and simulated. Also chaotic nonautonomous
Attractor is addressed suitable for chaotic masking
communication circuits using Matlab® and MultiSIM® programs.
We have demonstrated in simulations that chaos can be synchronized
and applied to signal masking communications. We suggest that this
phenomenon of chaos synchronism may serve as the basis for little
known chaotic non-autonomous Attractor to achieve signal masking
communication applications. Simulation results are used to visualize
and illustrate the effectiveness of non-autonomous chaotic system in
signal masking. All simulations results performed on nonautonomous
chaotic system are verify the applicable of secure
communication.", keywords = "Bidirectional chaotic synchronization, double bellattractor, secure communication", volume = "5", number = "8", pages = "1047-6", }