Temporal properties of dynamic processes on complex networks |
Posted on:2012-06-01 | Degree:Ph.D | Type:Dissertation |
University:University of North Texas | Candidate:Turalska, Malgorzata A | Full Text:PDF |
GTID:1450390011955654 | Subject:Physics |
Abstract/Summary: | |
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. |
Keywords/Search Tags: | Complex, Networks, Systems |
|
Related items |