Journal
NONLINEAR DYNAMICS
Volume 69, Issue 1-2, Pages 667-683Publisher
SPRINGER
DOI: 10.1007/s11071-011-0295-9
Keywords
Fractional order; Chaotic system; Generalized synchronization; Weighted complex networks; Nonidentical nodes
Categories
Funding
- National Natural Science Foundation of China [61004006, 60873133]
- Natural Science Foundation of Henan Province, China [112300410009]
- Foundation for University Young Key Teacher Program of Henan Province, China [2011GGJS-025]
- Natural Science Foundation of Educational Committee of Henan Province, China [2011A520004]
- Ministry of Education
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A fractional-order weighted complex network consists of a number of nodes, which are the fractional-order chaotic systems, and weighted connections between the nodes. In this paper, we investigate generalized chaotic synchronization of the general fractional-order weighted complex dynamical networks with nonidentical nodes. The well-studied integer-order complex networks are the special cases of the fractional-order ones. Based on the stability theory of linear fraction-order systems, the nonlinear controllers are designed to make the fractional-order complex dynamical networks with distinct nodes asymptotically synchronize onto any smooth goal dynamics. Numerical simulations are provided to verify the theoretical results. It is worth noting that the synchronization effect sensitively depends on both the fractional order theta and the feedback gain k (i) . Moreover, generalized synchronization of the fractional-order weighted networks can still be achieved effectively with the existence of noise perturbation.
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