Network representation and complex systems

Network Representation & Complex Systems

In this article, network science is discussed from a methodological perspective, and two central theses are defended. The first is that network science exploits the very properties that make a system complex. Rather than using idealization techniques to strip those properties away, as is standard practice in other areas of science, network science brings them to the fore, and uses them to furni...

A complex network representation of wind flows.

Climate networks have proven to be a valuable method to investigate spatial connectivity patterns of the climate system. However, so far such networks have mostly been applied to scalar observables. In this study, we propose a new method for constructing networks from atmospheric wind fields on two-dimensional isobaric surfaces. By connecting nodes along a spatial environment based on the local...

Complex systems: Network thinking

In this article, I discuss some recent ideas in complex systems on the topic of networks, contained in or inspired by three recent complex systems books. The general science of networks is the subject of Albert-Lazlo Barabási’s Linked [A.-L. Barabási, Linked: The New Science of Networks, Perseus, New York, 2002] and Duncan Watts’ Six Degrees [D. Watts, Six Degrees: The Science of a Connected Ag...

Structured Representation of Complex Stochastic Systems

This paperconsiders the problem of representing complex systems that evolve stochastically over time. Dynamic Bayesian networks provide a compact representation for stochastic processes. Unfortunately, they are often unwieldy since they cannot explicitly model the complex organizational structure of many real life systems: the fact that processes are typically composed of several interacting su...

Complex fuzzy linear systems