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dc.contributor.author
Chialva, Ulises  
dc.contributor.author
Reartes, Walter  
dc.date.available
2021-06-16T11:46:30Z  
dc.date.issued
2020-06-13  
dc.identifier.citation
Chialva, Ulises; Reartes, Walter; On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling; Springer; SN Applied Sciences; 2; 6; 13-6-2020; 1-10  
dc.identifier.uri
http://hdl.handle.net/11336/133965  
dc.description.abstract
A model for synchronization of coupled Nakano’s chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano’s circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.  
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application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CHAOTIC CIRCUIT  
dc.subject
COMPLEX NETWORKS  
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DISCONTINUOUS DYNAMICS  
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SYNCHRONIZATION  
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Matemática Aplicada  
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Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2021-06-07T15:29:14Z  
dc.identifier.eissn
2523-3971  
dc.journal.volume
2  
dc.journal.number
6  
dc.journal.pagination
1-10  
dc.journal.pais
Suiza  
dc.journal.ciudad
Cham  
dc.description.fil
Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina  
dc.journal.title
SN Applied Sciences  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s42452-020-2828-7  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s42452-020-2828-7