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Bahadorian, Mohammad Reza | 2018

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 50488 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Rahimi Tabar, Mohammad Reza
Abstract:
In this thesis, we study the resilience of complex systems under structural perturbations. After a brief review of the resilience and its importance, we show that how one can map a system of N-coupled dynamical equations onto an effective one-dimensional dynamics. This procedure is based on a nearest neighbor averaging. The obtained map, helps us study the response of the system to the effective one-dimensional control parameter, instead of all parameters that are affecting the structure of the network. Next, we use this procedure and unveil the resilience pattern of second-order Kuramoto oscillators on complex networks. Moreover, we propose a control strategy for complex systems which is based on Gershgorin circle theorem. This proposed strategy is very efficient and provides small set of driving nodes. Finally, we apply our proposed strategy to steer network of Kuramoto oscillators from asynchronous state to the synchronized one
Keywords:
Resilience ; Complex System ; Exact Controllability ; Second-Order Koramoto Oscillators System ; Complex Systems Control