Temporal Properties Of Dynamic Processes On Complex Networks

• Main Author: Turalska, Malgorzata A.
• Other Authors: Grigolini, Paolo
• Format: Others
• Language: English
• Published: University of North Texas 2011
• Subjects: Complex networks; cooperation; renewal theory; linear response theory; perturbation
• Online Access: https://digital.library.unt.edu/ark:/67531/metadc103403/

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.