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. 2017 Oct 10;11:95. doi: 10.1186/s12918-017-0472-7

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© The Author(s). 2017

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Fig. 1 — Analysis workflows for three-node oscillator models. Step 1. Construct six 3-node oscillator models using first-order ODEs; Step 2. Generate 1000 random parameter sets for each ODE; Step 3. Reformulate first-order ODEs into second-order ODEs by differentiation with respect to time and locate elements of Jacobian matrix by decomposition of the reformulated second-order ODEs; Step 4. Establish the conditions for the perturbations: determine the type of interactions to be perturbed and the strength of the perturbations; Step 5. Conduct perturbations under the established conditions; Step 6. Measure the resultant frequency and amplitude; and Step 7. Create density plots to depict the results schematically