Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/5092
Title: | Mapping from structure to dynamics : a unified view of dynamical processes on networks | Authors: | Zhang, J Zhou, C Xu, X Small, M |
Issue Date: | 27-Aug-2010 | Source: | Physical review. E, Statistical, nonlinear, and soft matter physics, Aug. 2010, v. 82, no. 2, 026116, p. 1-7 | Abstract: | Although it is unambiguously agreed that structure plays a fundamental role in shaping the collective dynamics of complex systems, how structure determines dynamics exactly 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 processes. Remarkably, we find that many seemingly different dynamical processes on networks, such as coupled oscillators, ensemble neuron firing, epidemic spreading and diffusion can all be understood and unified through this same procedure. Utilizing the inherent multiscale nature of this structure-dynamics transformation, we further define a multiscale complexity measure, which can quantify the functional diversity a general network can support at different organization levels using only its structure. We find that a wide variety of topological features observed in real networks, such as modularity, hierarchy, degree heterogeneity and mixing all result in higher complexity. This result suggests that the demand for functional diversity is driving the structural evolution of physical networks. | Keywords: | Complex networks Nonlinear dynamical systems Topology |
Publisher: | American Physical Society | Journal: | Physical review. E, Statistical, nonlinear, and soft matter physics | ISSN: | 1539-3755 | EISSN: | 1550-2376 | DOI: | 10.1103/PhysRevE.82.026116 | Rights: | Physical Review E © 2010 The American Physical Society. The Journal's web site is located at http://pre.aps.org/ |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Zhang_Mapping_Structure_Dynamics.pdf | 275.55 kB | Adobe PDF | View/Open |
Page views
77
Last Week
1
1
Last month
Citations as of Jun 4, 2023
Downloads
154
Citations as of Jun 4, 2023
SCOPUSTM
Citations
32
Last Week
0
0
Last month
0
0
Citations as of Jun 2, 2023
WEB OF SCIENCETM
Citations
26
Last Week
0
0
Last month
0
0
Citations as of Jun 1, 2023

Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.