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. 2018 Mar 20;8:4902. doi: 10.1038/s41598-018-22013-5

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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 boundaries of the effective dynamics for several values of p as a function of α/β and Γ, for the case where Γ < 0. Each curve is the stability boundary for the stated value of p. To the left of any curve the fixed point of the effective dynamics is unstable, to the right it is stable. The key result is that the stability boundary moves to the left as p increases, so the size of the regime with complex dynamics grows.