Degenerate Critical Points and Catastrophes: Fold Catastrophe
Degenerate Critical Points and Catastrophes: Fold Catastrophe
The simple algebraic curve is a good enough example to explain degeneracy and catastrophe in the extended phase space . With the help of this Demonstration, students can easily understand the fold catastrophe.
φ(t)=+ϵt
3
t
(t,φ(t),(t))
φ