Abstract

URIOSTEGUI-LEGORRETA, U.  and  TUTUTI, E. S.. Synchronization in the van der Pol-Duffing system via elastic and dissipative couplings. Rev. mex. fis. [online]. 2022, vol.68, n.1.  Epub June 23, 2023. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.68.011402.

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.

Keywords : Nonlinear dynamics; control of chaos; synchronization.

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