Synchronization of Colpitts oscillators with different orders |
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| Authors: | JY Effa BZ Essimbi J Mucho Ngundam |
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| Institution: | 1. Département de Physique, Faculté des Sciences, Université de Yaoundé 1, B.P. 8251 Yaoundé, Cameroun;2. Département des Génies Electrique et Télécommunication, ENSP, Université de Yaoundé 1, B.P. 8390 Yaoundé, Cameroun;1. Electronics Department, Burdwan Raj College, Burdwan 713104 , WB, India;2. Burdwan Harisabha Hindu Girls High School (Morning), Burdwan 713104, WB, India;3. Physics Department, Burdwan University, Burdwan 713104, WB, India;1. School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, People''s Republic of China;2. Hunan Provincial Key Laboratory of Intelligent Processing of Big Data on Transportation, Changsha University of Science and Technology, Changsha 410114, People''s Republic of China |
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| Abstract: | In this paper, we consider chaos synchronization between chaotic Colpitts oscillators with different orders, consisting of standard and improved version of Colpitts oscillators. Firstly, the normalized state equation of the improved version of the Colpitts oscillator designed to operate in the ultrahigh frequency range are presented. It is found that this version is described by fourth-order nonlinear differential equations. The equations of motion are solved numerically using the Runge–Kutta algorithm and simulations demonstrate chaos in the microwave frequencies range. Secondly, the problem of synchronization dynamics of third and fourth orders systems in the chaotic states is also investigated, and a controller is proposed based on stability theory by constructing the Lyapunov function, to ensure synchronization between both oscillators. Computer experiments demonstrate the effectiveness and feasibility of the proposed technique for these oscillators. |
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