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

• U. Uriostegui-Legorreta ^[2] ; E.S. Tututi ^[1]
  1. [1] Universidad Michoacana de San Nicolás de Hidalgo

     Universidad Michoacana de San Nicolás de Hidalgo

     México

     
  2. [2] CINVESTAV-IPN, Jalisco, México
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 68, Nº. 1, 2022, págs. 74-86
• Idioma: inglés
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• Resumen

  • The classical master-slave configuration allows synchronizing pairs of unidirectionally coupled systems in a relatively simple manner. However, it has been found that this scheme has a limitation: for certain systems including those with chaotic dynamics, the scheme fails at inducing synchronization. In this work a modified master-slave scheme, based on the combination of elastic and dissipative couplings, is presented. We focus on a possible solution for this limitation by illustrating our method through the van der Pol and Duffing oscillators and analyzing three different ways of coupling. We obtain, synchronization in both oscillators.