Master-slave synchronization in the Duffing-van der Pol and Φ<sup>6</sup>Duffing oscillators-Reference-Cited by-同舟云学术

Master-slave synchronization in the Duffing-van der Pol and Φ⁶Duffing oscillators

Published:2023-03-28 Issue:3 Volume:24 Page:1059-1072
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Uriostegui-Legorreta Ulises¹,Tututi Eduardo Salvador¹

Affiliation:

1. Facultad de Ciencias Físico Matemáticas , UMSNH , Morelia , Michoacán , México

Abstract

AbstractIn this work a master-slave configuration to obtain synchronization between the double-well Duffing-van der Pol (master system) and the three-well Φ6Duffing oscillators (slave system) is studied. For this configuration, we analyze the system when the dissipative and one that combines the elastic and dissipative couplings are used. Whenever the dissipative coupling is used, we observed a vertical shift synchronization in the slave system. However, when the combination of the elastic and dissipative couplings is used, the vertical shift disappears obtaining complete synchronization. We resort to perturbation method to corroborate analytically these kind of synchronization, when the master system provides an harmonic function to the slave system. These synchronizations are numerically corroborated.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2022-0465/pdf

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