Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies

In this work, the problem of master–slave outer synchronization in different inner–outer network topologies is presented. Specifically, the studied inner–outer network topologies are coupled in master–slave configuration, where some particular scenarios concerning inner–outer topologies are addresse...

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Main Authors: Adrian Arellano-Delgado, Rosa Martha López-Gutiérrez, Miguel Ángel Murillo-Escobar, Cornelio Posadas-Castillo
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/5/707
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author Adrian Arellano-Delgado
Rosa Martha López-Gutiérrez
Miguel Ángel Murillo-Escobar
Cornelio Posadas-Castillo
author_facet Adrian Arellano-Delgado
Rosa Martha López-Gutiérrez
Miguel Ángel Murillo-Escobar
Cornelio Posadas-Castillo
author_sort Adrian Arellano-Delgado
collection DOAJ
description In this work, the problem of master–slave outer synchronization in different inner–outer network topologies is presented. Specifically, the studied inner–outer network topologies are coupled in master–slave configuration, where some particular scenarios concerning inner–outer topologies are addressed in order to disclose a suitable coupling strength to achieve outer synchronization. The novel MACM chaotic system is used as a node in the coupled networks, which presents robustness in its bifurcation parameters. Extensive numerical simulations are presented where the stability of the inner–outer network topologies is analyzed through a master stability function approach.
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spelling doaj.art-09448ee877cf4d19aff2bc42e061c2902023-11-18T01:15:14ZengMDPI AGEntropy1099-43002023-04-0125570710.3390/e25050707Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network TopologiesAdrian Arellano-Delgado0Rosa Martha López-Gutiérrez1Miguel Ángel Murillo-Escobar2Cornelio Posadas-Castillo3National Council of Science and Technology, Ciudad de Mexico 03940, CDMX, MexicoEngineering, Architecture and Design Faculty, Autonomous University of Baja California, Ensenada 22860, BC, MexicoEngineering, Architecture and Design Faculty, Autonomous University of Baja California, Ensenada 22860, BC, MexicoFacultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León, San Nicolás de los Garza 66455, NL, MexicoIn this work, the problem of master–slave outer synchronization in different inner–outer network topologies is presented. Specifically, the studied inner–outer network topologies are coupled in master–slave configuration, where some particular scenarios concerning inner–outer topologies are addressed in order to disclose a suitable coupling strength to achieve outer synchronization. The novel MACM chaotic system is used as a node in the coupled networks, which presents robustness in its bifurcation parameters. Extensive numerical simulations are presented where the stability of the inner–outer network topologies is analyzed through a master stability function approach.https://www.mdpi.com/1099-4300/25/5/707inner–outer network topologyouter synchronizationmaster stability functiondiffusive couplingMACM chaotic system
spellingShingle Adrian Arellano-Delgado
Rosa Martha López-Gutiérrez
Miguel Ángel Murillo-Escobar
Cornelio Posadas-Castillo
Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
Entropy
inner–outer network topology
outer synchronization
master stability function
diffusive coupling
MACM chaotic system
title Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
title_full Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
title_fullStr Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
title_full_unstemmed Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
title_short Master–Slave Outer Synchronization in Different Inner–Outer Coupling Network Topologies
title_sort master slave outer synchronization in different inner outer coupling network topologies
topic inner–outer network topology
outer synchronization
master stability function
diffusive coupling
MACM chaotic system
url https://www.mdpi.com/1099-4300/25/5/707
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AT rosamarthalopezgutierrez masterslaveoutersynchronizationindifferentinneroutercouplingnetworktopologies
AT miguelangelmurilloescobar masterslaveoutersynchronizationindifferentinneroutercouplingnetworktopologies
AT cornelioposadascastillo masterslaveoutersynchronizationindifferentinneroutercouplingnetworktopologies