Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings

In this work, a master-slave configuration to obtain synchronization between the Rayleigh and the Duffing oscillators is studied. For this configuration, we analyze the system when the dissipative coupling and one that combines the elastic and dissipative couplings are used. We analyzed the couplin...

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Main Authors: Ulises Uriostegui-Legorreta, Eduardo Salvador Tututi-Hernández
Format: Article
Language:English
Published: Universidad Autónoma de Baja California 2022-02-01
Series:Revista de Ciencias Tecnológicas
Subjects:
Online Access:https://recit.uabc.mx/index.php/revista/article/view/214
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author Ulises Uriostegui-Legorreta
Eduardo Salvador Tututi-Hernández
author_facet Ulises Uriostegui-Legorreta
Eduardo Salvador Tututi-Hernández
author_sort Ulises Uriostegui-Legorreta
collection DOAJ
description In this work, a master-slave configuration to obtain synchronization between the Rayleigh and the Duffing oscillators is studied. For this configuration, we analyze the system when the dissipative coupling and one that combines the elastic and dissipative couplings are used. We analyzed the coupling parameters to find the range where synchronization between the oscillators is achieved. We found synchronization in the oscillators for large values of the coupling parameter. Our numerical findings show that for the dissipative coupling, there exists partial synchronization while for the others there is complete synchronization.
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spelling doaj.art-4f567a15a3c342478e279d5c45a56b242024-02-29T21:43:42ZengUniversidad Autónoma de Baja CaliforniaRevista de Ciencias Tecnológicas2594-19252022-02-015110.37636/recit.v5n1e214Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplingsUlises Uriostegui-Legorreta0Eduardo Salvador Tututi-Hernández1Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Av. Francisco J. Mújica S/N, C.P. 58060, Morelia, Michoacán, MéxicoFacultad de Ciencias Físico-Matemáticas In this work, a master-slave configuration to obtain synchronization between the Rayleigh and the Duffing oscillators is studied. For this configuration, we analyze the system when the dissipative coupling and one that combines the elastic and dissipative couplings are used. We analyzed the coupling parameters to find the range where synchronization between the oscillators is achieved. We found synchronization in the oscillators for large values of the coupling parameter. Our numerical findings show that for the dissipative coupling, there exists partial synchronization while for the others there is complete synchronization. https://recit.uabc.mx/index.php/revista/article/view/214Nonlinear dynamicscontrol of chaosSynchronization
spellingShingle Ulises Uriostegui-Legorreta
Eduardo Salvador Tututi-Hernández
Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
Revista de Ciencias Tecnológicas
Nonlinear dynamics
control of chaos
Synchronization
title Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
title_full Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
title_fullStr Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
title_full_unstemmed Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
title_short Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings
title_sort master slave synchronization in the rayleigh and duffing oscillators via elastic and dissipative couplings
topic Nonlinear dynamics
control of chaos
Synchronization
url https://recit.uabc.mx/index.php/revista/article/view/214
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AT eduardosalvadortututihernandez masterslavesynchronizationintherayleighandduffingoscillatorsviaelasticanddissipativecouplings