Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 22, Issue 1-3, Pages 623-640Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2014.07.006
Keywords
Combinatorial inner synchronization and outer synchronization; Time-controllable; Anti-star topological structure; Secure communication
Categories
Funding
- National Natural Science Foundation of China [61274020]
- Natural Science Foundation of Hunan Province [14JJ7026]
- Open Fund Project of Key Laboratory in Hunan Universities [13K015]
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In this paper, a time-controllable combinatorial inner synchronization and outer synchronization of anti-star networks, each of which consists of four-wing hyper-chaotic system as node dynamics, is investigated. Based on the adaptive technique and the stability of Lyapunov function, some sufficient conditions, which can ensure the realization of not only combinatorial inner synchronization within an anti-star network with unknown parameters and external perturbations in the computable time, but also combinatorial outer synchronization between different sub-networks with external perturbations in the computable time, are obtained. Moreover, a simple secure communication scheme, which is based on the adaptive combinatorial outer synchronization between different sub-networks under the influence of stochastic noise and time-delay, is presented. Numerical simulation results show the feasibility and validity of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.
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