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STS offers the following explanation for the [[Edge of chaos]] (see figure on the right).,<ref name=":10"/> <ref>{{Cite journal |last=Ovchinnikov |first=I.V. |title=Ubiquitous order known as chaos |date=2024-02-15 |journal=Chaos, Solitons & Fractals |language=en |volume=181 |issue=5 |pages=114611 |doi=10.1016/j.chaos.2024.114611 |arxiv=2503.17157 |bibcode=2024CSF...18114611O |url=https://www.sciencedirect.com/science/article/abs/pii/S0960077924001620 |issn = 0960-0779|url-access=subscription }}</ref> In the presence of noise, the TS can be spontaneously broken not only by the [[Integrable system|non-integrability]] of the flow vector field, as in deterministic chaos, but also by noise-induced instantons.
<ref> {{cite journal|last1=Witten|first1=Edward|title=Dynamical breaking of supersymmetry|journal=Nuclear Physics B|date=1988|volume=188|issue=3|pages=513–554|doi=10.1016/0550-3213(81)90006-7}} </ref>
Under this condition, the dynamics must be dominated by instantons with power-law distributions, as dictated by the Goldstone theorem. In the deterministic limit, the noise-induced instantons vanish, causing the phase hosting this type of noise-induced dynamics to collapse onto the boundary of the deterministic chaos (see figure on
== See also ==
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