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Chaos synchronization of resistively coupled Duffing systems: Numerical and experimental investigations
Authors:E. Tafo Wembe  R. Yamapi
Affiliation:1. African Institute for Mathematical Sciences (AIMS), Cameroon;2. Mesoscopic and Multilayer structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Cameroon;3. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O.Box 812, Yaounde, Cameroon;4. Centre d’Excellence Africain en Technologie de l’Information et de la Communication, University of Yaounde I, P.O.Box 812, Yaounde, Cameroon
Abstract:This paper studies chaos synchronization dynamics of two resistively coupled Duffing systems, through numerical and experimental investigations. Various bifurcation structures are derived and it is found that chaos appear suddenly, through period doubling cascades. The experimental study of these systems is carried out with appropriate software electronic circuit, proposed using the BSIMV3.3 parameters for the investigation of the dynamical behavior. The appropriate coupled coefficient for chaos synchronization is found using numerical and experimental simulations. The reliability of the analytical formulas is approved by the good agreement with the results obtained by both numerical and experiment simulations.
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