Journal
NATURE PHYSICS
Volume 15, Issue 2, Pages 178-+Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/s41567-018-0343-1
Keywords
-
Categories
Funding
- Azrieli Foundation
- Israel Science Foundation
- ONR Global
- Israel-Italian collaborative project NECST
- Japan Science Foundation
- BSF-NSF
- DTRA [HDTRA-1-10-1-0014]
- Israeli Ministry of Science, Technology and Space (MOST) [3-12072]
- Nvidia Corporation
Ask authors/readers for more resources
From critical infrastructure to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Structural interdependence-that is, when the functionality of the nodes is determined exclusively by connectivity between layers-can be characterized via percolation processes on interdependent networks. However, modelling more general interactions between dynamical systems has remained an open problem. Here, we present a dynamic dependency framework that can capture interdependent and competitive interactions between dynamic systems, which we use to study synchronization and spreading processes in multilayer networks with interacting layers. By developing a mean-field theory, which we verify by simulations, we find coupled collective phenomena, including multistability, regions of coexistence, and macroscopic chaos. In interdependent dynamics, in particular, we observe hysteretic behaviours with abrupt (hybrid and explosive) transitions, that exhibit universal features that match those emerging from interdependent percolation. This dynamic dependency framework provides a powerful tool with which to improve our understanding of many of the interacting complex systems surrounding us.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available