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Discrete Dynamics in Nature and Society - Volume 2014 2014, Article ID 650473, 6 pages -

Research ArticleDivision of Dynamics, Technical University of Lodz, Stefanowskiego 1-15, 90-924 Lodz, Poland

Received 10 February 2014; Accepted 9 April 2014; Published 29 April 2014

Academic Editor: Jinde Cao

Copyright © 2014 Dawid Dudkowski et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the system of externally excited identical van der Pol-Duffing oscillators unidirectionally coupled in a ring. When the coupling is introduced, each of the oscillator’s trajectories is on different attractor. We study the changes in the dynamics due to the increase in the coupling coefficient. Studying the phase of the oscillators, we calculate the parameter value for which we obtain the antiphase lag synchronization of the system and also the bifurcation values for which we observe qualitative changes in the dynamics of already synchronized system. We give evidence that lag synchronization is typical for coupled multistable systems.

Autor: Dawid Dudkowski, Patrycja Kuzma, and Tomasz Kapitaniak



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