Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks

Details Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks

2009-08-16

arxiv.org/abs/0908.2248v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can map the network topology directly to the dynamical patterns emergent on it -- independent of the nature of the dynamical process. We find that many seemingly diverse dynamical processes such as coupled oscillators and diffusion phenomena can all be understood and unified through this same procedure. Using the multiscale complexity measure derived form the structure-dynamics transformation, we find that the topological features like hierarchy, heterogeneity and modularity all result in higher complexity. This result suggests a universal principle: it is the desire for functional diversity that drives the evolution of network architecture.

Affiliated with

Also associated with

No associations

Rating

Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mapping from Architecture to Dynamics: A Unified View of Dynamical Processes on Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704700