Research Synchronization and Complex Dynamics in a System of Magnetically Coupled Colpitts Oscillators
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Added on 2021-12-03
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RESEARCH METHODOLOGY By Name Course Instructor Institution Location Date A topic for the Research Synchronization and Complex Dynamics in a system of Magnetically Coupled Colpitts Oscillators Introduction The topic of the coupled chaotic system has become very common in scientific research. Several proposals have been put forward according to Chen to assist in the study of the dynamic and synchronization of the coupled systems by the use of the cheap, simple and easy techniques. Synchronization controller design of two coupling permanent magnet synchronous motors system with nonlinear
Research Synchronization and Complex Dynamics in a System of Magnetically Coupled Colpitts Oscillators
Added on 2021-12-03
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RESEARCH METHODOLOGY By Name Course Instructor Institution Location Date
A topic for the Research Synchronization and Complex Dynamics in a system of Magnetically Coupled Colpitts Oscillators Introduction The topic of the coupled chaotic system has become very common in scientific research. The synchronization process of the coupled chaotic system has been in use in the last several years. The mathematical exploration of the dynamic system that includes interior crisis transition and periodic doubling revealed several scenarios of the bifurcations. Whenever there is coupling that is magnetic in nature, there is an observation of other kinds of dynamic phenomena including the coexistence of the solution, transient chaos, and multistability. There is normally a provision for the reasons considered theoretical for the observation besides the experimental confirmations through the practical measurements that exist in the wireless transfer. In most of the cases, the illustrations are the possibility of getting the mechanism that controls and also synchronizes the system in a very simple and also effective manner that uses the high-frequency oscillations. Chen; (2015). Robust finite-time chaos synchronization of uncertain permanent magnet synchronous motors.ISA transactions,58, 262-269. Several proposals have been put forward according to Chen to assist in the study of the dynamic and synchronization of the coupled systems by the use of the cheap, simple and easy techniques. The specific part that needs to be addressed includes the impacts of the magnetic coupling on the process of the synchronization of the two Colpitts oscillators. The description of the dynamic system is achieved by the use of the smooth model of the
mathematics. There is also an investigation that seeks to establish the stability of the state that is balanced or that is in the state of equilibrium. The system that is coupled is normally accompanied by the chaos and the hyperchaos in the exact range of the measurements. Deng, Z.(2015). Synchronization controller design of two coupling permanent magnet synchronous motors system with nonlinear constraints.ISA transactions,59, 243-255. In the case of the nonlinear dynamics and in the electronics the modeling of the oscillators is done without the use of the coupling from the external magnetic fielding. This is according to Deng. In some cases, there may be interactions that involve the systems which have been coupled physically. This particular case is common in specific conditions of the experiment. In this particular study, the attention is given to the impacts of the magnetic coupling on the characteristics of the Colpitts coupled oscillator. Kana, L. K., Fomethe, A., Fotsin, H. B., Wembe, E. T., & Moukengue, A. I. (2017). Complex Dynamics and Synchronization in a System of Magnetically Coupled Colpitts Oscillators.Journal of Nonlinear Dynamics,2017. In this book, the chaos synchronization refers to the characteristic behavior whereby more than two systems which have been coupled together indicate the very high index of similarity of the chaotic oscillations. While considering the effects of similar systems of the dynamics, the loss of the synchronization that is found between the smaller sub-systems is attributed to the Lyapunov exponents of the entire system globally. As per the article of
the "Renewable and sustainable energy," the process or the technique of the synchronization has assisted in the energy saving generally. Whenever there is a loss in the synchrony an automatic transition from chaotic to the hyperchaotic behavior. Kengne, J., Chedjou, J. C., Kenne, G., & Kyamakya, K. (2012). Dynamical properties and chaos synchronization of improved Colpitts oscillators.Communications in Nonlinear Science and Numerical Simulation,17(7), 2914-2923. There have been proposals of several solutions in this book in connection to the challenge some of which include adaptive control, active control, active-backstepping and adaptive backstepping. According to Kengne et al most of these proposals are characterized by controllers and design aspect that is very difficult and very complex hence not easy to achieve. This has been illustrated in the book of the "Transaction on Industrial Electronics" Due to the already identified complexities and the difficulties in the existing systems, there is needed to introduce a method that is numerically and experimentally approved to be simple. The research seeks to put forward a very simple, cheap and easy technique that can be used effectively in the dynamic and subsequent synchronization of the Colpitts coupled oscillator. Li, L. B., Sun, L. L., Zhang, S. Z., & Yang, Q. Q. (2015). Speed tracking and synchronization of multiple motors using ring coupling control and adaptive sliding mode control.ISA transactions,58, 635-649. In the general set up, the metastable systems are characterized by very high level of the complexity in the behavior of the varying systems. The books illustrates this effect comprehensively.
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