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Adaptive full state hybrid function projective synchronization of financial hyperchaotic systems with uncertain parameters
1. | Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China, China, China, China |
References:
[1] |
L. M.Park and T. L.Carroll, Synchronization in chaotic systems Phys. Rev. Lett. 64 (1990), 821-823.
doi: 10.1103/PhysRevLett.64.821. |
[2] |
E. H. Park, M. A. Zaks and J. Kurths, Phase synchronization in the forced Lorenz system Phys. Rev. E. 60 (1990), 6627-2238.
doi: 10.1103/PhysRevE.60.6627. |
[3] |
Z. B. Li and X. S. Zhao, Generalized function projective synchronization of two different hyperchaotic systems with unknown parameters Nonlinear Anal. Real World Appl. 12 (2011), 2607-2615.
doi: 10.1016/j.nonrwa.2011.03.009. |
[4] |
H. N. Agiza, Choas synchronization of Lüdynamical system Nonlinear Anal. 58 (2004), 11-20
doi: 10.1016/j.na.2004.04.002. |
[5] |
G. L. Cai, P. Hu and Y. X. Li, Modified function lag projective synchronization of a financial hyperchaotic system Nonlinear Dyn. 69 (2012), 1457-1464
doi: 10.1007/s11071-012-0361-y. |
[6] |
G. L. Cai, H. X. Wang and S. Zheng, Adaptive function projective synchronization of two different hyperchaotic systems with unknown parameters Chin. J. Phys. 47 (2009), 662-669 |
[7] |
D. L. Chen, J. T. Sun and C. S. Huang, Impulsive control and synchronization of general chaotic system Chaos Solitons Fractals 38 (2006), 213-218
doi: 10.1016/j.chaos.2005.05.057. |
[8] |
M. F. Hu, Z. F. Xu, R. Zhang and A. H. Hu, Parameters identification and adaptive full state hypbrid projective synchronization of chaotic systems Physica A. 361 (2007), 231-237
doi: 10.1016/j.physleta.2006.08.092. |
[9] |
D. Guégan, Chaos in economics and finance Annu Rev Control 33 (2009), 89-93 |
[10] |
Q. Gao and J. H. Ma, Chaos and Hopf bifurcation of a finance system Nonlinear Dyn. 58 (2009), 209-216
doi: 10.1007/s11071-009-9472-5. |
[11] |
H. J. Yu, G. L. Cai and Y. X. Li, Dynamic analysis and control of a new hyperchaotic finance system Nonlinear Dyn. 67 (2012), 2171-2182
doi: 10.1007/s11071-011-0137-9. |
[12] |
J. Ding, W. G. Yang and H. X. Yao, A new Modified Hyperchaotic Finance System and its Control, International Journal of Nonlinear Science Nonlinear Dyn. 8 (2009), 59-66 |
show all references
References:
[1] |
L. M.Park and T. L.Carroll, Synchronization in chaotic systems Phys. Rev. Lett. 64 (1990), 821-823.
doi: 10.1103/PhysRevLett.64.821. |
[2] |
E. H. Park, M. A. Zaks and J. Kurths, Phase synchronization in the forced Lorenz system Phys. Rev. E. 60 (1990), 6627-2238.
doi: 10.1103/PhysRevE.60.6627. |
[3] |
Z. B. Li and X. S. Zhao, Generalized function projective synchronization of two different hyperchaotic systems with unknown parameters Nonlinear Anal. Real World Appl. 12 (2011), 2607-2615.
doi: 10.1016/j.nonrwa.2011.03.009. |
[4] |
H. N. Agiza, Choas synchronization of Lüdynamical system Nonlinear Anal. 58 (2004), 11-20
doi: 10.1016/j.na.2004.04.002. |
[5] |
G. L. Cai, P. Hu and Y. X. Li, Modified function lag projective synchronization of a financial hyperchaotic system Nonlinear Dyn. 69 (2012), 1457-1464
doi: 10.1007/s11071-012-0361-y. |
[6] |
G. L. Cai, H. X. Wang and S. Zheng, Adaptive function projective synchronization of two different hyperchaotic systems with unknown parameters Chin. J. Phys. 47 (2009), 662-669 |
[7] |
D. L. Chen, J. T. Sun and C. S. Huang, Impulsive control and synchronization of general chaotic system Chaos Solitons Fractals 38 (2006), 213-218
doi: 10.1016/j.chaos.2005.05.057. |
[8] |
M. F. Hu, Z. F. Xu, R. Zhang and A. H. Hu, Parameters identification and adaptive full state hypbrid projective synchronization of chaotic systems Physica A. 361 (2007), 231-237
doi: 10.1016/j.physleta.2006.08.092. |
[9] |
D. Guégan, Chaos in economics and finance Annu Rev Control 33 (2009), 89-93 |
[10] |
Q. Gao and J. H. Ma, Chaos and Hopf bifurcation of a finance system Nonlinear Dyn. 58 (2009), 209-216
doi: 10.1007/s11071-009-9472-5. |
[11] |
H. J. Yu, G. L. Cai and Y. X. Li, Dynamic analysis and control of a new hyperchaotic finance system Nonlinear Dyn. 67 (2012), 2171-2182
doi: 10.1007/s11071-011-0137-9. |
[12] |
J. Ding, W. G. Yang and H. X. Yao, A new Modified Hyperchaotic Finance System and its Control, International Journal of Nonlinear Science Nonlinear Dyn. 8 (2009), 59-66 |
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