# 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