Title: Adaptive synchronisation of small-world networks with Lorenz chaotic oscillators

Authors: Zhuqing Jiao; Kai Ma; Yiling Rong; Huan Wang; Ling Zou

Addresses: School of Information Science and Engineering, Changzhou University, Changzhou 213164, China ' School of Information Science and Engineering, Changzhou University, Changzhou 213164, China ' Changzhou Urban Planning Compilation and Research Centre, Changzhou 213002, China ' School of Information Science and Engineering, Changzhou University, Changzhou 213164, China ' School of Information Science and Engineering, Changzhou University, Changzhou 213164, China

Abstract: Synchronisation issues are important subjects in studying the dynamical performance of small-world networks. The backgrounds of the Lorenz system are given in details, and an adaptive synchronisation method is introduced to the small-world networks with Lorenz chaotic oscillators. The network achieves synchronisation asymptotically through adjusting the coupling strength according to a certain adaptive law, without requiring additional conditions for coupling matrix like the existing works. The numerical examples are applied to demonstrate and verify the effectiveness of the proposed method. The comparisons of the simulation results show that the new method appreciably reduces the synchronisation errors and increases the convergence speed to a certain extent.

Keywords: complex networks; small-world networks; Lorenz chaotic oscillator; adaptive synchronisation.

DOI: 10.1504/IJSNET.2017.084674

International Journal of Sensor Networks, 2017 Vol.24 No.2, pp.90 - 97

Received: 08 Dec 2016
Accepted: 08 Dec 2016

Published online: 19 Jun 2017 *

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