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

Authors

  • Ulises Uriostegui-Legorreta Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Av. Francisco J. Mújica S/N, C.P. 58060, Morelia, Michoacán, México https://orcid.org/0000-0001-9905-6060
  • Eduardo Salvador Tututi-Hernández Facultad de Ciencias Físico-Matemáticas https://orcid.org/0000-0002-0126-6615

DOI:

https://doi.org/10.37636/recit.v5n1e214

Keywords:

Nonlinear dynamics, control of chaos, Synchronization

Abstract

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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Rayleigh oscillator

Published

2022-02-16

How to Cite

Uriostegui-Legorreta, U., & Tututi-Hernández, E. S. (2022). Master-slave synchronization in the Rayleigh and Duffing oscillators via elastic and dissipative couplings. REVISTA DE CIENCIAS TECNOLÓGICAS, 5(1), e214. https://doi.org/10.37636/recit.v5n1e214

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