ArticleScientific reports2014
Untangling complex dynamical systems via derivative-variable correlations.
Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Network structure from a characterization of interactions in complex systems.Scientific reports · 2022Article
- A practical method for estimating coupling functions in complex dynamical systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
- Reconstruction of noise-driven nonlinear networks from node outputs by using high-order correlations.Scientific reports · 2017Article
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Authors and funding
2 authors.
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Abstract
Inferring the internal interaction patterns of a complex dynamical system is a challenging problem. Traditional methods often rely on examining the correlations among the dynamical units. However, in systems such as transcription networks, one unit's variable is also correlated with the rate of change of another unit's variable. Inspired by this, we introduce the concept of derivative-variable correlation, and use it to design a new method of reconstructing complex systems (networks) from dynamical time series. Using a tunable observable as a parameter, the reconstruction of any system with known interaction functions is formulated via a simple matrix equation. We suggest a procedure aimed at optimizing the reconstruction from the time series of length comparable to the characteristic dynamical time scale. Our method also provides a reliable precision estimate. We illustrate the method's implementation via elementary dynamical models, and demonstrate its robustness to both model error and observation error.
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Registered trials
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