Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors
This paper addresses the synchronization problem in outer topology networks using chaotic nodes with hidden attractors. Specifically, we analyze bidirectionally coupled networks with various inner–outer coupling topologies to identify the optimal configuration that encourages outer synchronization....
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/7/634 |
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| author | Carlos Andrés Villalobos-Aranda Adrian Arellano-Delgado Ernesto Zambrano-Serrano Javier Pliego-Jiménez César Cruz-Hernández |
| author_facet | Carlos Andrés Villalobos-Aranda Adrian Arellano-Delgado Ernesto Zambrano-Serrano Javier Pliego-Jiménez César Cruz-Hernández |
| author_sort | Carlos Andrés Villalobos-Aranda |
| collection | DOAJ |
| description | This paper addresses the synchronization problem in outer topology networks using chaotic nodes with hidden attractors. Specifically, we analyze bidirectionally coupled networks with various inner–outer coupling topologies to identify the optimal configuration that encourages outer synchronization. The inner–outer coupled networks incorporate a chaotic system capable of generating hidden attractors. To assess the stability of the synchronization state, we conduct numerical simulations and examine the maximum Lyapunov exponent of the generic variational equations. Our results reveal the most suitable bidirectional inner–outer coupling network topology for achieving outer synchronization. |
| first_indexed | 2024-03-11T01:18:44Z |
| format | Article |
| id | doaj.art-8a6fe3886a0245d99cdb96bee7d34435 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T01:18:44Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-8a6fe3886a0245d99cdb96bee7d344352023-11-18T18:17:18ZengMDPI AGAxioms2075-16802023-06-0112763410.3390/axioms12070634Outer Topology Network Synchronization Using Chaotic Nodes with Hidden AttractorsCarlos Andrés Villalobos-Aranda0Adrian Arellano-Delgado1Ernesto Zambrano-Serrano2Javier Pliego-Jiménez3César Cruz-Hernández4Electronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada 22860, MexicoNational Council of Science and Technology, Ciudad de Mexico 03940, MexicoFacultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León, San Nicolás de los Garza 66455, MexicoElectronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada 22860, MexicoElectronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada, Ensenada 22860, MexicoThis paper addresses the synchronization problem in outer topology networks using chaotic nodes with hidden attractors. Specifically, we analyze bidirectionally coupled networks with various inner–outer coupling topologies to identify the optimal configuration that encourages outer synchronization. The inner–outer coupled networks incorporate a chaotic system capable of generating hidden attractors. To assess the stability of the synchronization state, we conduct numerical simulations and examine the maximum Lyapunov exponent of the generic variational equations. Our results reveal the most suitable bidirectional inner–outer coupling network topology for achieving outer synchronization.https://www.mdpi.com/2075-1680/12/7/634outer synchronizationinner–outer topologymaster stability functionchaoshidden attractors |
| spellingShingle | Carlos Andrés Villalobos-Aranda Adrian Arellano-Delgado Ernesto Zambrano-Serrano Javier Pliego-Jiménez César Cruz-Hernández Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors Axioms outer synchronization inner–outer topology master stability function chaos hidden attractors |
| title | Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors |
| title_full | Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors |
| title_fullStr | Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors |
| title_full_unstemmed | Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors |
| title_short | Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors |
| title_sort | outer topology network synchronization using chaotic nodes with hidden attractors |
| topic | outer synchronization inner–outer topology master stability function chaos hidden attractors |
| url | https://www.mdpi.com/2075-1680/12/7/634 |
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