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Master–slave synchronization in the Van der Pol–Duffing and Duffing oscillators

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Abstract

A numerical study on the master–slave synchronization between Van der Pol–Duffing and Duffing oscillators with symmetric and asymmetric potentials is presented. We evaluate the elastic coupling, dissipative coupling and a combination of both and compare among themselves, to study what coupling is more effective when the systems are synchronized. The numerical findings demonstrate that, for the elastic or dissipative coupling at best there is complete synchronization in only one state of the slave system. When the combination of both couplings is used, complete synchronization is achieved for the two states of the slave system. We observe that synchronization between the oscillators is achieved for large values of the coupling strength.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors comment: All data included in this study are available on request by contacting the corresponding author.]

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Acknowledgements

U. Uriostegui-Legorreta thanks to CONACYT for financial support. This work has been partially supported by UMNSH.

Funding

This work was funded by CONACYT.

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Authors and Affiliations

  1. Facultad de Ciencias Físico, Matemáticas, Universidad Michoacana de San Nicolas de Hidalgo, Av. Francisco J. Mújica S/N, C.P. 58060, Morelia, Michoacán, Mexico

    Ulises Uriostegui Legorreta & Eduardo Salvador Tututi Hernández

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  1. Ulises Uriostegui Legorreta
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  2. Eduardo Salvador Tututi Hernández
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We declare that the both authors contributed to the conception, study and analysis of the work. Both authors approved the final version of this paper.

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Correspondence to Ulises Uriostegui Legorreta.

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Uriostegui Legorreta, U., Tututi Hernández, E.S. Master–slave synchronization in the Van der Pol–Duffing and Duffing oscillators. Int. J. Dynam. Control 12, 356–372 (2024). https://doi.org/10.1007/s40435-023-01213-6

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  • DOI: https://doi.org/10.1007/s40435-023-01213-6

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