Is there a #mathematical framework for abrupt change? Christopher Zeeman was one of the key figures behind #CatastropheTheory, a topological approach to discontinuous behavior that later informed much of today’s work on #TippingPoints. Just came across his elegant 1976 paper, outlining his core ideas:

📄 https://www.jstor.org/stable/24950329

#DynamicalSystems #Topology #ComplexSystems

This device's behaviour feels like something Christopher Zeeman might have invented back in the 1970s to demonstrate catastrophe theory.
https://www.youtube.com/watch?v=-QTkPfq7w1A
#Veritasium #maths #CatastropheTheory #Catastrophe #mathematics #physics #engineering #waves #spring #springs #energy #traffic #transport
https://www.youtube.com/watch?v=dAKz5DoOa54
This mechanism shrinks when pulled

YouTube
"[Retired Gen. Andrei] Kemenici says he still resents the last Romanian communist leader using the military to bring their countrymen to heel.
”I, like the rest of the army, was sick of him,” Kemenici explains. ”He was always taking from the Romanian people and wouldn't offer anything in return. ... That's why we had it so bad.” " (NPR: 24 Dec 2014)
https://www.npr.org/sections/parallels/2014/12/24/369593135/25-years-after-death-a-dictator-still-casts-a-shadow-in-romania
🔸Mind being buzzed by "collapse of dry sand slopes", "#CatastropheTheory", and "#Ceaucescu". Indigestion?
In a different world,I wrote about #CatastropheTheory and tipping points Wildlife is not domestic or farm animals
In each successful interaction lots of mutations in #AvianInflueza are sprung,some of which bring virus closer and closer to effective H2H transmission
What is going to happen?
Future of Humankind was written in now proved wrong decisions of our past
In long term like paintings of Spanish #ValdesLeal,decline and putrefaction reach us all
and Death will reign as absolute monarch