Generalized synchronization and their detection in the complex network with a tree topology
Result description
In this paper, the synchronization of the complex network with nodes being nonidentical chaotic systems is studied. The master-slave synchronization scheme between unidirectionally coupled complex network nodes is solved theoretically. The generalized Lorenz system (GLS) represents each node of the complex network with different parameters. Here, the generalized synchronization in a complex network with nodes being the chaotic systems (the particular cases of the GLS, namely Lorenz and Chen chaotic systems) are studied. The application of the theoretical results for the generalized synchronization between nodes of the complex networks with tree topology is verified by the numerical simulations. The duplicated system approach is applied for the detection of the generalized synchronization in a complex network with a tree topology. The obtained results are applied to synchronize complex networks consisting of GLSs with different parameters but belong to the chaotic systems’ same class (Chen, Lorenz).
Keywords
Generalized Lorenz systemGeneralized synchronizationAuxiliary system approachDuplicated system approachChaotic systemsComplex networks
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Generalized synchronization and their detection in the complex network with a tree topology
Original language description
In this paper, the synchronization of the complex network with nodes being nonidentical chaotic systems is studied. The master-slave synchronization scheme between unidirectionally coupled complex network nodes is solved theoretically. The generalized Lorenz system (GLS) represents each node of the complex network with different parameters. Here, the generalized synchronization in a complex network with nodes being the chaotic systems (the particular cases of the GLS, namely Lorenz and Chen chaotic systems) are studied. The application of the theoretical results for the generalized synchronization between nodes of the complex networks with tree topology is verified by the numerical simulations. The duplicated system approach is applied for the detection of the generalized synchronization in a complex network with a tree topology. The obtained results are applied to synchronize complex networks consisting of GLSs with different parameters but belong to the chaotic systems’ same class (Chen, Lorenz).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
GA19-05872S: Synchronization and decentralized control of complex networks
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 2021 9th International Conference on Systems and Control, Caen, France (2021)
ISBN
978-1-6654-0782-3
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
216-222
Publisher name
IEEE
Place of publication
Piscataway
Event location
Caen
Event date
Nov 24, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
OECD FORD
Automation and control systems
Year of implementation
2021