Synchronization in the van der Pol-Duffing system via elastic and dissipative couplings

Authors

  • Ulises Uriostegui Legorreta CINVESTAV
  • E.S. Tututi UMSNH

DOI:

https://doi.org/10.31349/RevMexFis.68.011402

Keywords:

Nonlinear dynamics, control of chaos, synchronization

Abstract

The classical master-slave configuration allows synchronizing pairs of unidirectionally coupled systems in a relatively easy manner. However, it has been found that this scheme has a limitation: for certain systems including those with chaotic dynamics this scheme fails to induce synchronization. In this work a modified master-slave scheme, based on combining elastic and dissipative couplings is presented. We focuses on a possible solution for this limitation by illustrating our method employing the va der Pol and Dung oscillators and analyzing three dierent ways of coupling. We obtain, synchronization in both oscillators.

Author Biography

Ulises Uriostegui Legorreta, CINVESTAV

CINVESTAV-IPN, Unidad Guadalajara

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Published

2022-01-01

Issue

Section

14 Other areas in Physics