Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps. - David J. W. Simpson; James D. Meiss (SIAM J. Appl. Dyn. Syst., 2008)

Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control. - David J. W. Simpson; Rachel Kuske; Yue-Xian Li (J. Nonlinear Sci., 2012)

Stochastic Regular Grazing Bifurcations. - David J. W. Simpson; Stephen John Hogan; Rachel Kuske (SIAM J. Appl. Dyn. Syst., 2013)

On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations. - David J. W. Simpson (Appl. Math. Lett., 2014)

Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form. - David J. W. Simpson (Int. J. Bifurc. Chaos, 2014)

Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form. - David J. W. Simpson (Int. J. Bifurc. Chaos, 2014)

Taxonomic and functional metagenomic analysis of anodic communities in two pilot-scale microbial fuel cells treating different industrial wastewaters. - Larisa Kiseleva; Sofya K. Garushyants; Hongwu Ma; David J. W. Simpson; Viatcheslav Fedorovich; Michael F. Cohen; Igor Goryanin (J. Integr. Bioinform., 2015)

Stochastic Perturbations of Periodic Orbits with Sliding. - David J. W. Simpson; Rachel Kuske (J. Nonlinear Sci., 2015)

Border-Collision Bifurcations in ℝN. - David J. W. Simpson (SIAM Rev., 2016)

Grazing-Sliding Bifurcations Creating Infinitely Many Attractors. - David J. W. Simpson (Int. J. Bifurc. Chaos, 2017)

Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps. - David J. W. Simpson; Christopher P. Tuffley (Int. J. Bifurc. Chaos, 2017)

Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces. - Mike R. Jeffrey; Georgios Kafanas; David J. W. Simpson (Int. J. Bifurc. Chaos, 2018)

Characterisation and classification of signatures of spanning trees of the n-cube. - Howida A. Al Fran; David J. W. Simpson; Christopher P. Tuffley (Australas. J Comb., 2019)

Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps. - David J. W. Simpson (Int. J. Bifurc. Chaos, 2020)

Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones. - Paul A. Glendinning; David J. W. Simpson (Appl. Math. Comput., 2022)

Renormalization of the Two-Dimensional Border-Collision Normal Form. - Indranil Ghosh; David J. W. Simpson (Int. J. Bifurc. Chaos, 2022)

Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps. - Paul A. Glendinning; David J. W. Simpson (SIAM J. Appl. Math., 2023)

A Synopsis of the Noninvertible, Two-Dimensional, Border-Collision Normal Form with Applications to Power Converters. - Hammed Olawale Fatoyinbo; David J. W. Simpson (Int. J. Bifurc. Chaos, 2023)

The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. - Indranil Ghosh; Robert I. McLachlan; David J. W. Simpson (Commun. Nonlinear Sci. Numer. Simul., 2024)

Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps. - Indranil Ghosh; Robert I. McLachlan; David J. W. Simpson (J. Nonlinear Sci., 2025)

A Piecewise-Linear Fixed Point Theorem. - David J. W. Simpson (Am. Math. Mon., 2025)