3 papers
math.DS2021
Bifurcation to instability through the lens of the Maslov index
Paul Cornwell, Christopher K. R. T. Jones, Claire Kiers
The Maslov index is a powerful tool for assessing the stability of solitary waves. Although it is difficult to calculate in general, a framework for doing so was recently establish…
math.DS2019
Rate-induced Tipping in Discrete-time Dynamical Systems
Claire Kiers
We develop a definition of rate-induced tipping (R-tipping) in discrete-time dynamical systems (maps) and prove results giving conditions under which R-tipping will or will not hap…
math.DS2018
On Conditions for Rate-induced Tipping in Multi-Dimensional Dynamical Systems
Claire Kiers, Christopher K. R. T. Jones
The possibility of rate-induced tipping (R-tipping) away from an attracting fixed point has been thoroughly explored in 1-dimensional systems. In these systems, it is impossible to…