Complex Dynamics and Synchronization in a System of Magnetically Coupled Colpitts Oscillators | Zendy

L. K. Kana | Zendy; Anaclet Fomethe | Zendy; Hilaire Bertrand Fotsin | Zendy; Evariste T. Wembe | Zendy; Adolphe Imano Moukengue | Zendy

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Complex Dynamics and Synchronization in a System of Magnetically Coupled Colpitts Oscillators

Author(s) -

L. K. Kana,

Anaclet Fomethe,

Hilaire Bertrand Fotsin,

Evariste T. Wembe,

Adolphe Imano Moukengue

Publication year - 2017

Publication title -

journal of nonlinear dynamics

Language(s) - English

Resource type - Journals

eISSN - 2356-7503

pISSN - 2314-6893

DOI - 10.1155/2017/5483956

Subject(s) - colpitts oscillator , multistability , synchronization (alternating current) , coupling (piping) , inductive coupling , complex dynamics , hysteresis , control theory (sociology) , synchronization of chaos , statistical physics , physics , chaotic , topology (electrical circuits) , computer science , nonlinear system , channel (broadcasting) , mathematics , materials science , condensed matter physics , quantum mechanics , mathematical analysis , telecommunications , control (management) , voltage , voltage controlled oscillator , artificial intelligence , combinatorics , vackář oscillator , metallurgy

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

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