Identification of unknown parameters and orders via cuckoo search oriented statistically by differential evolution for non-commensurate fractional order chaotic systems

Other literature type, Article, Preprint English OPEN
Fei Gao; Xue-Jing Lee; Heng-qing Tong; Feng-xia Fei; Hua-ling Zhao;
(2012)

Identification of the unknown parameters and orders of fractional chaotic systems is of vital significance in controlling and synchronization of fractional-order chaotic systems. In this paper, a non-Lyapunov novel approach is proposed to estimate the unknown parameters... View more
  • References (17)
    17 references, page 1 of 2

    [8] Y. Yu, H.-X. Li, S. Wang, J. Yu, Dynamic analysis of a fractional-order lorenz chaotic system, Chaos, Solitons and Fractals 42 (2) (2009) 1181- 1189.

    [9] L.-G. Yuan, Q.-G. Yang, Parameter identification and synchronization of fractional-order chaotic systems, Communications in Nonlinear Science and Numerical Simulation 17 (1) (2012) 305-316.

    [10] H. Jian-Bing, X. Jian, D. Ling-Dong, Synchronizing improper fractional chen chaotic system, J.Shanghai University (Natural Science Edition) 17 (6) (2011) 734-739.

    [11] C. Li, G. Peng, Chaos in chen's system with a fractional order, Chaos, Solitons & Fractals 22 (2) (2004) 443-450.

    [12] C. Li, G. Chen, Chaos and hyperchaos in the fractional-order r¨ossler equations, Physica A: Statistical Mechanics and its Applications 341 (0) (2004) 55-61.

    [13] W. Deng, S. E, D. Sun, P. Wang, D. Zhang, W. Xu, Fabrication of vertical coupled polymer microring resonator, in: Y.-C. Chung, S. Xie (Eds.), ICO20: Optical Communication., Vol. 6025 of Proceedings of the SPIE, 2006, pp. 334-339.

    [14] L. Song, J. Yang, S. Xu, Chaos synchronization for a class of nonlinear oscillators with fractional order, Nonlinear Analysis: Theory, Methods and Applications 72 (5) (2010) 2326-2336.

    [15] R. X. Zhang, Y. Yang, S. P. Yang, Adaptive synchronization of the

    [23] K. Sun, J. C. Sprott, Bifurcations of fractional-order diffusionless lorenz system, Electronic Journal of Theoretical Physics 6 (22) (2009) 123-134.

    [24] X. J. Wu, S. L. Shen, Chaos in the fractional-order lorenz system, International Journal of Computer Mathematics 86 (7) (2009) 1274-1282, cited By (since 1996): 5 Export Date: 27 June 2012 Source: Scopus.

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