Network automata and the functional dynamic network framework
David Macleish Smith, Jukka‐Pekka Onnela, Chiu Fan Lee, Mark D. Fricker, Neil F. Johnson · arXiv (Cornell University) · 2008
We introduce the Functional Dynamic Network framework for dealing with networks in which the topology evolves according to some specified microscopic rules and, simultaneously, there is a dynamic process taking place on the network that both depends on its structure but is also capable of modifying it. As such it is a generic framework for dealing with the types on systems in which network structure, dynamics, and function are interrelated. As a prerequisite for the framework, we develop Network Automata, a generalization of Cellular Automata, which in itself is capable of replicating many familiar network models as shown. To demonstrate the Functional Dynamic Network in action, we develop a simple biologically inspired model of fungal growth.