Anti-Synchronization of two Different Chaotic Systems via Active Control
This paper presents anti-synchronization of chaos
between two different chaotic systems using active control method.
The proposed technique is applied to achieve chaos antisynchronization
for the Lü and Rössler dynamical systems.
Numerical simulations are implemented to verify the results.
[1] T.L. Carroll, L.M. Pecora, "Synchronization in chaotic systems",
Physical. Review Letters, Vol. 64, pp. 821-824, 1990.
[2] Y. Zhang, J. Sun, "Chaotic synchronization and anti-synchronization
based on suitable separation", Physics Letters A, Vol. 330, pp. 442-447,
2004.
[3] Ch-M et al., "Anti-synchronization of chaotic oscillators", Physics
Letters A, Vol. 320, pp. 39-46, 2003.
[4] M. Bennett, M.F. Schatz, H. Rockwood, K. Wiesenfeld, "Huygens'
clocks", Proc. R. Soc. London A, Vol. 458, pp. 563-579, 2002.
[5] J. Liu, C. Ye, S. Zhang, W. Song, "Anti-phase synchronization in
coupled map lattices", Physics Letters A, Vol. 274, pp. 27-29, 2000.
[6] A. Uchida, Y. Liu, I. Fischer, P. Davis, T. Aida, "Chaotic antiphase
dynamics and synchronization in multimode semiconductor lasers",
Physical Review. A, Vol. 64, 023801, 2001.
[7] S. Nakata, T. Miyata, N. Ojima, K. Yoshikawa, "Self-synchronization in
coupled salt-water oscillators", Physica D, Vol. 115, pp. 313-320, 1998.
[8] L-Y. Cao, Y-Ch. Lai, "Antiphase synchronism in chaotic systems",
Physical Review E, Vol. 58, No. 1, pp. 382-386, 1998.
[9] J. L├╝, G. Chen, S. Zhang, "Dynamical analysis of a new chaotic
attractor", Int. J. Bifurcation Chaos, Vol. 12, pp. 1001, 2002.
[10] X. Yu, "Variable structure control approach for controlling chaos",
Chaos Solitons and Fractals, Vol. 8, No. 9, pp. 1577-1586, 1997.
[1] T.L. Carroll, L.M. Pecora, "Synchronization in chaotic systems",
Physical. Review Letters, Vol. 64, pp. 821-824, 1990.
[2] Y. Zhang, J. Sun, "Chaotic synchronization and anti-synchronization
based on suitable separation", Physics Letters A, Vol. 330, pp. 442-447,
2004.
[3] Ch-M et al., "Anti-synchronization of chaotic oscillators", Physics
Letters A, Vol. 320, pp. 39-46, 2003.
[4] M. Bennett, M.F. Schatz, H. Rockwood, K. Wiesenfeld, "Huygens'
clocks", Proc. R. Soc. London A, Vol. 458, pp. 563-579, 2002.
[5] J. Liu, C. Ye, S. Zhang, W. Song, "Anti-phase synchronization in
coupled map lattices", Physics Letters A, Vol. 274, pp. 27-29, 2000.
[6] A. Uchida, Y. Liu, I. Fischer, P. Davis, T. Aida, "Chaotic antiphase
dynamics and synchronization in multimode semiconductor lasers",
Physical Review. A, Vol. 64, 023801, 2001.
[7] S. Nakata, T. Miyata, N. Ojima, K. Yoshikawa, "Self-synchronization in
coupled salt-water oscillators", Physica D, Vol. 115, pp. 313-320, 1998.
[8] L-Y. Cao, Y-Ch. Lai, "Antiphase synchronism in chaotic systems",
Physical Review E, Vol. 58, No. 1, pp. 382-386, 1998.
[9] J. L├╝, G. Chen, S. Zhang, "Dynamical analysis of a new chaotic
attractor", Int. J. Bifurcation Chaos, Vol. 12, pp. 1001, 2002.
[10] X. Yu, "Variable structure control approach for controlling chaos",
Chaos Solitons and Fractals, Vol. 8, No. 9, pp. 1577-1586, 1997.
@article{"International Journal of Electrical, Electronic and Communication Sciences:59162", author = "Amir Abbas Emadzadeh and Mohammad Haeri", title = "Anti-Synchronization of two Different Chaotic Systems via Active Control", abstract = "This paper presents anti-synchronization of chaos
between two different chaotic systems using active control method.
The proposed technique is applied to achieve chaos antisynchronization
for the Lü and Rössler dynamical systems.
Numerical simulations are implemented to verify the results.", keywords = "Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.", volume = "1", number = "6", pages = "859-4", }