Συγχρονισμός χαοτικών ταλαντωτών colpitts

Abstract

The aspiration of this thesis is the development of a system through which synchronization between an ideal and a pragmatic Colpitts oscillator is achieved. This respective system displays a unique characteristic in reference to the synchronization of the two oscillators, as they have been implemented differently. The first oscillator has been developed via software, while the second oscillator has been developed via hardware. This study describes the theory, along with the history of the concept of chaos. Also certain qualities that have to govern dynamic systems in order for them to be considered chaotic are thoroughly analyzed. Additionally, they are presented some of the most famous models which exhibit chaotic behavior. The focus, however, is on the Colpitts oscillator, for which a detailed presentation is introduced of both the chaotic function it displays through the selection of specific parameters of its circuit and also the synchronization between two chaotic Colpitts oscillators. Finally, all the experimental results and simulations that have been carried out to achieve the objective of the work are presented. The current effort to achieve synchronization between chaotic Colpitts oscillators did not lead to the desirable result, which was the synchronization of the chaotic oscillators. Therefore, there are a number of possible reasons that may have led to the failure of the desirable synchronization. In addition, some solutions are mentioned, such as the implementation of a more complex model that may possibly lead to the synchronization of the two Colpitts oscillators.