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==== Recent debates on butterfly effects ==== The first kind of butterfly effect (BE1), known as SDIC (Sensitive Dependence on Initial Conditions), is widely recognized and demonstrated through idealized chaotic models. However, opinions differ regarding the second kind of butterfly effect, specifically the impact of a butterfly flapping its wings on tornado formation, as indicated in two 2024 articles.<ref name=":9">{{Cite journal |last1=Pielke Sr. |first1=Roger |last2=Shen |first2=Bo-Wen |last3=Zeng |first3=Xubin |date=2024-05-01 |title=The Butterfly Effect: Can a butterfly in Brazil cause a tornado in Texas? |url=https://doi.org/10.1080/00431672.2024.2329521 |journal=Weatherwise |volume=77 |issue=3 |pages=14β18|doi=10.1080/00431672.2024.2329521 }}</ref><ref>{{Cite journal |last=Palmer |first=Tim |date=2024-05-01 |title=The real butterfly effect and maggoty apples |journal=Physics Today |volume=77 |issue=5 |pages=30β35 |doi=10.1063/pt.eike.hsbz |issn=0031-9228|doi-access=free |bibcode=2024PhT....77e..30P }}</ref> In more recent discussions published by ''Physics Today'',<ref name=":10">{{Cite journal |last1=Pielke |first1=Roger A. |last2=Shen |first2=Bo-Wen |last3=Zeng |first3=Xubin |date=2024-09-01 |title=Butterfly effects |journal=Physics Today |language=en |volume=77 |issue=9 |pages=10 |doi=10.1063/pt.ifge.djjy |issn=0031-9228|doi-access=free |bibcode=2024PhT....77Q..10P }}</ref><ref>{{Cite journal |last=Palmer |first=Tim |date=2024-09-01 |title=Butterfly effects |url=https://pubs.aip.org/physicstoday/article/77/9/10/3309181/Butterfly-effects |journal=Physics Today |language=en |volume=77 |issue=9 |pages=10 |doi=10.1063/pt.oktn.zdwa |bibcode=2024PhT....77R..10P |issn=0031-9228}}</ref> it is acknowledged that the second kind of butterfly effect (BE2) has never been rigorously verified using a realistic weather model. While the studies suggest that BE2 is unlikely in the real atmosphere,<ref name=":9" /><ref name=":10" /> its invalidity in this context does not negate the applicability of BE1 in other areas, such as pandemics or historical events.<ref>{{Cite journal |last1=Shen |first1=Bo-Wen |last2=Pielke |first2=Roger |last3=Xubin Zeng |date=2024-09-02 |title=Summary of Two Kinds of Butterfly Effects |url=https://rgdoi.net/10.13140/RG.2.2.32401.24163 |journal=Technical Report |language=en |doi=10.13140/RG.2.2.32401.24163}}</ref> For the third kind of butterfly effect, the limited predictability within the Lorenz 1969 model is explained by scale interactions in one article<ref name=":3" /> and by system ill-conditioning in another more recent study.<ref name=":7" />
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