Haibo Lu

Local maximal-canard threshold shifts under Runge--Kutta discretization: an observable-specific order condition

Near a planar fast--slow fold, a local maximal canard is selected by the parameter at which the attracting and repelling slow manifolds meet. We compare this threshold for a physical flow and a Runge--Kutta map, using actual invariant manifolds on a common fold section. An order-two Runge--Kutta method has two independ...