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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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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 > Mathematics
Faculty of Science > Centre for Systems Biology
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.)
Date: 2011
Volume: Vol.2
Number of Pages: 752
Page Range: pp. 1-24
Identification Number: 10.1007/978-3-642-14788-3_1
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Related URLs:
URI: http://wrap.warwick.ac.uk/id/eprint/43931

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