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Network control analysis for time-dependent dynamical states
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Rand, D. A. (David A.) (2011) Network control analysis for time-dependent dynamical states. In: Peixoto, Mauricio Matos and Pinto, Alberto Adrego and Rand, D. A. (David A.), (eds.) Dynamics, Games and Science II. Springer proceedings in mathematics, Vol.2 . Berlin ; Heidelberg ; New York: Springer, pp. 1-24. ISBN 9783642147883
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Official URL: http://dx.doi.org/10.1007/978-3-642-14788-3_1
Abstract
We present an approach to network control analysis that applies to some important time-dependent dynamical states for both autonomous and non-autonomous dynamical systems. In particular, the theory applies to periodic solutions of autonomous and periodically forced differential equations. The key results are summation theorems that substantially generalise previous results. These results can be interpreted as mathematical laws stating the need for a balance between fragility and robustness in such systems. We also present the theory behind what has been called global sensitivity analysis where sensitivities are defined in terms of principal components and principal control coefficients.
| Item Type: | Book Item | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Research Centres > Warwick Systems Biology Centre |
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| Series Name: | Springer proceedings in mathematics | ||||
| Publisher: | Springer | ||||
| Place of Publication: | Berlin ; Heidelberg ; New York | ||||
| ISBN: | 9783642147883 | ||||
| ISSN: | 2190-5614 | ||||
| Book Title: | Dynamics, Games and Science II | ||||
| Editor: | Peixoto, Mauricio Matos and Pinto, Alberto Adrego and Rand, D. A. (David A.) | ||||
| Official Date: | 2011 | ||||
| Dates: |
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| Volume: | Vol.2 | ||||
| Number of Pages: | 752 | ||||
| Page Range: | pp. 1-24 | ||||
| DOI: | 10.1007/978-3-642-14788-3_1 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
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