### Abstract

Original language | English |
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Title of host publication | Approximation Algorithms for Complex Systems |

Editors | E H Georgoulis, A Iske, J Levesley |

Publisher | Springer |

Pages | 3-26 |

Number of pages | 24 |

ISBN (Print) | 9783642168758 |

DOIs | |

Publication status | Published - 2011 |

### Publication series

Name | Springer Proceedings in Mathematics |
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Volume | 3 |

### Fingerprint

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*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

}

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

U2 - 10.1007/978-3-642-16876-5

DO - 10.1007/978-3-642-16876-5

M3 - 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 -