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. 2018 Aug 29;8:13050. doi: 10.1038/s41598-018-31412-7

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as 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 images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Stability in the J₋ direction along the diagonal. (A) The value of M_pot is shown as a function of T along the diagonal of the phase diagram in the Limit cycle region for different values of A = 1/4, 1/2, 3/4, 1, 3/2, … 4 (from top at low A values to bottom). Here τ₊ = 0.5 was used. All units of time were measured in units of τ_a. (B) The value of M_dep is shown as a function of T for different values of the adaptation strength, A (as in (A)). Here τ₋ = 1 was used. (C) J₋ dynamics along the diagonal. The value of M is shown as a function of the oscillation period along the diagonal for different values of A (same values and color code as in A), using α = 0.9. (D). The effect of the relative strength of depression. The value of M is plotted as a function of the oscillation period along the diagonal for different values of α = 0.5, 0.55, … 1 from bottom (dark, α = 0) to top (light, α = 1), using A = 2.