TY - CHAP
T1 - Emergent behaviour in large electrical networks
AU - Almond, Darryl
AU - Budd, Christopher J
AU - McCullen, Nicholas J
N1 - Approximation Algorithms for Complex Systems: Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009
PY - 2011
Y1 - 2011
N2 - Many complex systems have emergent behaviour which results from the way in that the components of the system interact, rather than their individual properties. However, it is often unclear as to what this emergent behaviour can be, or inded how large the system should be for such behaviour to arise. In this paper we will address these problems for the specific case of an electrical network comprising a mixture of resistive and reactive elements. Using this model we will show, using some spectral theory, the types of emergent behaviour that we expect and also how large a system we need for this to be observed.
AB - Many complex systems have emergent behaviour which results from the way in that the components of the system interact, rather than their individual properties. However, it is often unclear as to what this emergent behaviour can be, or inded how large the system should be for such behaviour to arise. In this paper we will address these problems for the specific case of an electrical network comprising a mixture of resistive and reactive elements. Using this model we will show, using some spectral theory, the types of emergent behaviour that we expect and also how large a system we need for this to be observed.
UR - http://dx.doi.org/10.1007/978-3-642-16876-5
UR - https://www.scopus.com/pages/publications/84903697693
U2 - 10.1007/978-3-642-16876-5
DO - 10.1007/978-3-642-16876-5
M3 - Book chapter
SN - 9783642168758
T3 - Springer Proceedings in Mathematics
SP - 3
EP - 26
BT - Approximation Algorithms for Complex Systems
A2 - Georgoulis, E H
A2 - Iske, A
A2 - Levesley, J
PB - Springer
ER -