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Temporal Properties Of Dynamic Processes On Complex Networks

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc103403
Date12 1900
CreatorsTuralska, Malgorzata A.
ContributorsGrigolini, Paolo, Krokhin, Arkadii, Roberts, James A., Gross, Gunter
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Turalska, Malgorzata A., Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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