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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc103403 |
| Date | 12 1900 |
| Creators | Turalska, Malgorzata A. |
| Contributors | Grigolini, Paolo, Krokhin, Arkadii, Roberts, James A., Gross, Gunter |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Turalska, Malgorzata A., Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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