Open Access
2013 Generalized Outer Synchronization between Complex Networks with Unknown Parameters
Di Ning, Xiaoqun Wu, Jun-an Lu, Hui Feng
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/802859

Abstract

As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat's lemma. If the functional relations are not known, the auxiliary-system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results.

Citation

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Di Ning. Xiaoqun Wu. Jun-an Lu. Hui Feng. "Generalized Outer Synchronization between Complex Networks with Unknown Parameters." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/802859

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095369
MathSciNet: MR3147822
Digital Object Identifier: 10.1155/2013/802859

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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