12 citations · 13 across the 3 of their papers we have counts for
4 papers
Catastrophe conditions for vector fields in
Mike R. Jeffrey
Practical conditions are given here for finding and classifying high codimension intersection points of hypersurfaces in dimensions. By interpreting those hypersurfaces as…
Homoclinic boundary-saddle bifurcations in nonsmooth vector fields
Kamila da Silva Andrade, Mike R. Jeffrey, Ricardo M. Martins +1
In a smooth dynamical system, a homoclinic connection is a closed orbit returning to a saddle equilibrium. Under perturbation, homoclinics are associated with bifurcations of perio…
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Carles Bonet-Reves, Tere M. Seara, Enric Fossas +1
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the d…
Jitter in Dynamical Systems with Intersecting Discontinuity Surfaces
Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson
Mathematical models involving switches --- in the form of differential equations with discontinuities --- can accomodate real-world non-idealities through perturbations by hysteres…