43 citations · 150 across the 14 of their papers we have counts for
3 papers · 1 filter
Tipping points near a delayed saddle node bifurcation with periodic forcing
Jielin Zhu, Rachel Kuske, Thomas Erneux
We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter. Here tipping ref…
Stochastic averaging of dynamical systems with multiple time scales forced with α-stable noise
William F. Thompson, Rachel A. Kuske, Adam H. Monahan
Stochastic averaging allows for the reduction of the dimension and complexity of stochastic dynamical systems with multiple time scales, replacing fast variables with statistically…
Stochastic Perturbations of Periodic Orbits with Sliding
David J. W. Simpson, Rachel Kuske
Vector fields that are discontinuous on codimension-one surfaces are known as Filippov systems and can have attracting periodic orbits involving segments that are contained on a di…