Topology Identification and Adaptive Synchronization of Fractional-Order Complex Networks

Abstract:

This paper investigates topology identification and adaptive synchronization of uncertain complex networks with fractional-order systems nodes. In comparison with those of the integerorder chaotic system nodes, this method is more efficiently which can enlarge the key space. Moreover, the uncertain network topological structure is identified simultaneously in the process of synchronization. Illustrative examples are presented to demonstrate the application of the theoretical results.

• Periodical: Advanced Materials Research (Volumes 850-851)
• Pages: 936-938
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.850-851.936
• Online since: December 2013
• Authors: Jin Ping Jia
• Keywords: Adaptive synchronization, Complex Network, Fractional-Order Chaotic Systems, Topology Identification

References

[1] D.H. Zanette, A.S. Mikhailov: Phys. Rev. E., Vol. 58 (1998) no. 5, pp.872-878.

[2] D.H. Zanette, A.S. Mikhailov: Phys. Rev. E., Vol. 62 (2000) no. 3, pp.149-156.

[3] K. Diethelm, N.J. Ford: J. Math. Anal. Appl., Vol. 265 (2002) no. 2, pp.229-248.

[4] Z. Ma, Z. Liu, G. Zhang, Chaos, Vol. 16(2006), no. 2, p.023103.

[5] L. Kocarev, P. Amato: Chaos., Vol. 15(2005) no. 6, p.024101.

[6] Bagley RL, Calico RA: J. Guid Control Dyn, Vol. 14 (1991) no. 4, p.304–311.

[7] Koeller RC: J. Math. Anal. Appl., Vol. 54 (1984), no. 5 pp.199-203.

[8] X.F. Wang, G. Chen: IEEE Trans. Circuits System, Vol. 49(2002), no. 2, p.54–62.