Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors

•They were synchronized complex networks with regular and irregular topology.•It was analyzed the stability of the synchronization error system.•It was obtained the coupling strength by an alternative method.•It was reduced the coupling strength and were given its lower and upper boundary. In this p...

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Published inApplied mathematics and computation Vol. 275; pp. 305 - 316
Main Authors Soriano-Sánchez, A.G., Posadas-Castillo, C., Platas-Garza, M.A., Cruz-Hernández, C., López-Gutiérrez, R.M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2016
Subjects
Complex networks
Multi-scroll chaotic attractors
Synchronization
Synchronization
Multi-scroll chaotic attractors
Complex networks
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Abstract •They were synchronized complex networks with regular and irregular topology.•It was analyzed the stability of the synchronization error system.•It was obtained the coupling strength by an alternative method.•It was reduced the coupling strength and were given its lower and upper boundary. In this paper synchronization of N-coupled chaotic oscillators with multi-scroll attractors is presented. N chaotic oscillators are coupled in regular and irregular topologies. The generalizations of the Genesio & Tesi and Chua’s chaotic oscillators are used as generators of multi-scroll attractors. An alternative scheme for computing the coupling strength is proposed. Synchronization is achieved through the coupling matrix and by using the resulting alternative values. In general, the range of values obtained with the proposed method is smaller than the one given by Wang & Chen method. The effectiveness of this coupling strength is verified through numerical simulations.
AbstractList •They were synchronized complex networks with regular and irregular topology.•It was analyzed the stability of the synchronization error system.•It was obtained the coupling strength by an alternative method.•It was reduced the coupling strength and were given its lower and upper boundary. In this paper synchronization of N-coupled chaotic oscillators with multi-scroll attractors is presented. N chaotic oscillators are coupled in regular and irregular topologies. The generalizations of the Genesio & Tesi and Chua’s chaotic oscillators are used as generators of multi-scroll attractors. An alternative scheme for computing the coupling strength is proposed. Synchronization is achieved through the coupling matrix and by using the resulting alternative values. In general, the range of values obtained with the proposed method is smaller than the one given by Wang & Chen method. The effectiveness of this coupling strength is verified through numerical simulations.
Author López-Gutiérrez, R.M.
Cruz-Hernández, C.
Soriano-Sánchez, A.G.
Platas-Garza, M.A.
Posadas-Castillo, C.
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Complex networks
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Snippet •They were synchronized complex networks with regular and irregular topology.•It was analyzed the stability of the synchronization error system.•It was...
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SubjectTerms Complex networks
Multi-scroll chaotic attractors
Synchronization
Title Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors
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