APS March Meeting 2016
Volume 61, Number 2
Monday–Friday, March 14–18, 2016;
Baltimore, Maryland
Session V3: Complex Network Dynamics
2:30 PM–5:30 PM,
Thursday, March 17, 2016
Room: Ballroom III
Sponsoring
Unit:
GSNP
Chair: Adilson Motter, Northwestern University
Abstract ID: BAPS.2016.MAR.V3.1
Abstract: V3.00001 : Cascading Failures and Recovery in Networks of Networks*
2:30 PM–3:06 PM
Preview Abstract
Abstract
Author:
Shlomo Havlin
(Bar Ilan University)
Network science have been focused on the
properties of a single isolated network that does not interact or
depends on other networks. In reality, many real-networks, such as
power grids, transportation and communication
infrastructures interact and depend on other networks. I will present a
framework for studying the vulnerability and the recovery of networks of interdependent networks. In interdependent networks, when nodes in one network fail, they cause dependent nodes in other networks to also fail. This is also the case when some nodes like certain locations play a role in two networks --multiplex. This may happen recursively and can lead to a cascade of failures and to a sudden fragmentation of the system.
I will present analytical solutions for the critical threshold
and the giant component of a network of n interdependent networks.
I will show, that the general theory has many novel features that are not present in the classical network theory. When recovery of components is possible global spontaneous recovery of the networks and hysteresis phenomena occur and the theory suggests an optimal repairing strategy of system of systems.
I will also show that interdependent networks embedded in space are
significantly more vulnerable compared to non embedded networks. In particular, small localized attacks may lead to cascading failures and catastrophic consequences.Thus, analyzing data of real network of networks is highly required to understand the system vulnerability.
References:
[1] S. Buldyrev, R. Parshani, G. Paul, H.E. Stanley, S. Havlin,
Nature, 465, 0893 (2010)
[2] R. Parshani, S. Buldyrev, S. Havlin, PRL, 105, 048701 (2010)
[3] R. Parshani, S.V. Buldyrev, S. Havlin, PNAS 108, 1007 (2011)
[4] J. Gao, S. Buldyrev, H. E. Stanley, S. Havlin, Nature Physics, 8, 40 (2012).
[5] A. Bashan et al, Nature Communications 3, 702 (2012)
[6] A. Bashan et al, Nature Physics, 9, 667 (2013)
[7] A Majdandzic et al, Nature Physics 10 (1), 34 (2014)
*DTRA, ONR, Israel Science Foundation
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2016.MAR.V3.1