2 papers
math.DS2023
Dynamic tipping and cyclic folds, in a one-dimensional non-smooth dynamical system linked to climate models
Chris Budd, Rachel Kuske
We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related c…
math.AP2009
Self-similar blow-up in parabolic equations of Monge--Ampère type
C. R. Budd, V. A. Galaktionov
We propose nonlinear parabolic equations of Monge--Ampére (M--A) type that admit regional, single poin, and global blow-up of similarity type. A similar model is derived for a four…