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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 45380 (04)
- University: Sharif University of Technology
- Department: Physics
- Advisor(s): Rahimi Tabar, Mohammad Reza
- Abstract:
- The synchronization phenomena are abundant is science, nature, engineering, and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers, firing neurons, and applauding audiences exhibit a tendency to operate in synchrony. These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics. First chapter of this thesis describes the basic ideas of the synchronization in an intuitive way. The main physical concepts are presented with experimental examples.
One of the main effects of synchronization is the ability to infer the directionality of coupling for two time series. Uncovering the directionality of coupling is a significant step in understanding drive-response relationships in complex systems. Here, we review some nonparametric methods for detecting the directionality of coupling based on the estimation of information theoretic functions. Using the concepts of information theory, such as entropy, mutual information and conditional mutual information, we study the directionality of coupling between different time series. Finally we apply this method to analyzes the directionality in dynamical systems such as, Rossler , Van der Pol and Rosenblum-Pikovsky oscillators and quantify the directionality in terms of the coupling strength - Keywords:
- Synchronism ; Coupling ; Entropy ; Information Theory ; Directionality
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