The party predicament Republicans gathered at their late April spring meetings in Hollywood Florida could be forgiven for thinking they were on a soundstage in the other Hollywood. “Nice political party you got here,” their presidential front-runner has been telling them, loud enough for the world to eavesdrop. “It would be a shame if something […]
Understanding the structure of complex networks and uncovering the properties of their constituents has been for many decades at the center of study of several fundamental sciences, such as discrete mathematics and graph theory. In the past decade there has been an explosion of interest in complex network data, especially in the fields of biological and social networks. Given the large scale and interconnected nature of these types of networks there is a need for tools that enable us to make sense of these structures.
In this paper we explore how, for a given network, there are a range of emergent dynamic structures that support the different behaviors exhibited by the network’s various state space attractors. For the purpose of our presentation we use a selected Boolean Network, calculate a variety of structural and dynamic parameters, explore the various dynamic structures that are associated with it, and consider the activities (Shannon entropy) associated with each of the network’s nodes when in certain modes/attractors.
This work is a follow-up to past work looking at the relationship between form and function in complex systems, and we hope that such explorations will enable us to develop robust complexity-informed tools to support the wealth of tools associated with Network Theory, with particular emphasis on network dynamics.
Thoughts, feelings and images that come to mind while asleep may come from recent or distant memories, fragments of both recent and distant memories, from salient day emotion, from imagination or maybe even randomly. But we still don’t know how dreams form from these ruminations of the mind or random activations. This paper hypothesizes that dreams form through the process of emergence. The dream as an emergent product creates a story that is largely unpredictable even when knowing individual content. Emergence of a dream implies qualitative novelty in that the dream’s story transcends its individual memories and images. When a dream forms, meaning that may have resided in individual elements is transcended into a functional story providing the dreamer with new or modified situations and people. Functionality comes only after the disparate elements form into a dream where a story and an experience emerge. Core functionality comes from emergence of a dream, and is thus independent of the specific content of the dream even if the specific content provides additional meaning for the dreamer.