Emergent behaviour in large electrical networks

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

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.
Original languageEnglish
Title of host publicationApproximation Algorithms for Complex Systems
EditorsE H Georgoulis, A Iske, J Levesley
PublisherSpringer
Pages3-26
Number of pages24
ISBN (Print)9783642168758
DOIs
Publication statusPublished - 2011

Publication series

NameSpringer Proceedings in Mathematics
Volume3

Fingerprint

Emergent Behavior
Electrical Networks
Spectral Theory
Complex Systems
Model

Cite this

Almond, D., Budd, C. J., & McCullen, N. J. (2011). Emergent behaviour in large electrical networks. In E. H. Georgoulis, A. Iske, & J. Levesley (Eds.), Approximation Algorithms for Complex Systems (pp. 3-26). (Springer Proceedings in Mathematics ; Vol. 3). Springer. https://doi.org/10.1007/978-3-642-16876-5

Emergent behaviour in large electrical networks. / Almond, Darryl; Budd, Christopher J; McCullen, Nicholas J.

Approximation Algorithms for Complex Systems. ed. / E H Georgoulis; A Iske; J Levesley. Springer, 2011. p. 3-26 (Springer Proceedings in Mathematics ; Vol. 3).

Research output: Chapter in Book/Report/Conference proceedingChapter

Almond, D, Budd, CJ & McCullen, NJ 2011, Emergent behaviour in large electrical networks. in EH Georgoulis, A Iske & J Levesley (eds), Approximation Algorithms for Complex Systems. Springer Proceedings in Mathematics , vol. 3, Springer, pp. 3-26. https://doi.org/10.1007/978-3-642-16876-5
Almond D, Budd CJ, McCullen NJ. Emergent behaviour in large electrical networks. In Georgoulis EH, Iske A, Levesley J, editors, Approximation Algorithms for Complex Systems. Springer. 2011. p. 3-26. (Springer Proceedings in Mathematics ). https://doi.org/10.1007/978-3-642-16876-5
Almond, Darryl ; Budd, Christopher J ; McCullen, Nicholas J. / Emergent behaviour in large electrical networks. Approximation Algorithms for Complex Systems. editor / E H Georgoulis ; A Iske ; J Levesley. Springer, 2011. pp. 3-26 (Springer Proceedings in Mathematics ).
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