Complex Dynamics and Synchronization in a System of Magnetically Coupled Colpitts Oscillators
-
- L. K. Kana
- Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
-
- A. Fomethe
- Laboratory of Mechanics and Modeling of Physical Systems, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
-
- H. B. Fotsin
- Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
-
- E. T. Wembe
- Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
-
- A. I. Moukengue
- Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
説明
<jats:p>We propose the use of a simple, cheap, and easy technique for the study of dynamic and synchronization of the coupled systems: effects of the magnetic coupling on the dynamics and of synchronization of two Colpitts oscillators (wireless interaction). We derive a smooth mathematical model to describe the dynamic system. The stability of the equilibrium states is investigated. The coupled system exhibits spectral characteristics such as chaos and hyperchaos in some parameter ranges of the coupling. The numerical exploration of the dynamics system reveals various bifurcations scenarios including period-doubling and interior crisis transitions to chaos. Moreover, various interesting dynamical phenomena such as transient chaos, coexistence of solution, and multistability (hysteresis) are observed when the magnetic coupling factor varies. Theoretical reasons for such phenomena are provided and experimentally confirmed with practical measurements in a wireless transfer.</jats:p>
収録刊行物
-
- Journal of Nonlinear Dynamics
-
Journal of Nonlinear Dynamics 2017 1-13, 2017-04-10
Hindawi Limited
