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A review is presented of the one-parameter, nonsmooth bifurcations that occur in a variety of continuous-time piecewise-smooth dynamical systems. Motivated by applications, a pragmatic approach is taken to defining a discontinuity-induced bifurcation (DIB) as a nontrivial interaction of a limit set with respect to a codimension-one discontinuity boundary in(More)
This article describes how to use smooth solvers for simulation of a class of piecewise smooth systems of ordinary differential equations, called Filippov systems, with discontinuous vector fields. In these systems constrained motion along a discontinuity surface (so-called sliding) is possible and requires special treatment numerically. The introduced(More)
(2005). Two-parameter nonsmooth grazing bifurcations of limit cycles: classification and open problems. General rights This document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: Explore Bristol Research is a digital archive and the intention is(More)
Interspecific interactions may occur for just a brief period each year before the populations involved become spatially separated. For instance, the range of a migrating population may overlap with that of a population of predators for a single season. In this work, we outline a framework for examining how this kind of ‘transient’ predation influences the(More)