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math.DS2012
Stochastic Regular Grazing Bifurcations
David J. W. Simpson, S. J. Hogan, Rachel Kuske
A grazing bifurcation corresponds to the collision of a periodic orbit with a switching manifold in a piecewise-smooth ODE system and often generates complicated dynamics. The lowe…
math.DS2012★ 3 cited
Stochastically Perturbed Sliding Motion in Piecewise-Smooth Systems
David J. W. Simpson, Rachel Kuske
Sliding motion is evolution on a switching manifold of a discontinuous, piecewise-smooth system of ordinary differential equations. In this paper we quantitatively study the effect…