Generalized Outer Synchronization between Complex Networks with Unknown Parameters. (26th December 2013)

• Record Type: Journal Article
• Authors: Ning, Di; Wu, Xiaoqun; Lu, Jun-an; Feng, Hui
• Other Names: Furi Massimo Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/802859
• Languages: English
• ISSNs: 1085-3375

Abstract

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.