Temporal Properties Of Dynamic Processes On Complex Networks

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Many social, biological and technological systems can be viewed as complex networks with a large number of interacting components. However despite recent advancements in network theory, a satisfactory description of dynamic processes arising in such cooperative systems is a subject of ongoing research. In this dissertation the emergence of dynamical complexity in networks of interacting stochastic oscillators is investigated. In particular I demonstrate that networks of two and three state stochastic oscillators present a second-order phase transition with respect to the strength of coupling between individual units. I show that at the critical point fluctuations of the global order parameter ... continued below

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Turalska, Malgorzata A. December 2011.

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  • Turalska, Malgorzata A.

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Description

Many social, biological and technological systems can be viewed as complex networks with a large number of interacting components. However despite recent advancements in network theory, a satisfactory description of dynamic processes arising in such cooperative systems is a subject of ongoing research. In this dissertation the emergence of dynamical complexity in networks of interacting stochastic oscillators is investigated. In particular I demonstrate that networks of two and three state stochastic oscillators present a second-order phase transition with respect to the strength of coupling between individual units. I show that at the critical point fluctuations of the global order parameter are characterized by an inverse-power law distribution and I assess their renewal properties. Additionally, I study the effect that different types of perturbation have on dynamical properties of the model. I discuss the relevance of those observations for the transmission of information between complex systems.

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UNT Theses and Dissertations

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  • December 2011

Added to The UNT Digital Library

  • Oct. 2, 2012, 4:18 p.m.

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  • Nov. 16, 2016, 12:06 p.m.

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Turalska, Malgorzata A. Temporal Properties Of Dynamic Processes On Complex Networks, dissertation, December 2011; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc103403/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .