David J. W. Simpson

23 papers Journal 23

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Piecewise-Linear Fixed Point Theorem. Am. Math. Mon. David J. W. Simpson
2025	J	`jnl`	Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems. SIAM J. Appl. Dyn. Syst. Hong Tang, Alan R. Champneys, David J. W. Simpson
2025	J	`jnl`	Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps. J. Nonlinear Sci. Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
2025	J	`jnl`	The Two-Dimensional Border-Collision Normal Form with a Zero Determinant. SIAM J. Appl. Dyn. Syst. David J. W. Simpson
2024	J	`jnl`	The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. Commun. Nonlinear Sci. Numer. Simul. Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
2023	J	`jnl`	A Synopsis of the Noninvertible, Two-Dimensional, Border-Collision Normal Form with Applications to Power Converters. Int. J. Bifurc. Chaos Hammed Olawale Fatoyinbo, David J. W. Simpson
2023	J	`jnl`	Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps. SIAM J. Appl. Math. Paul A. Glendinning, David J. W. Simpson
2022	J	`jnl`	Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones. Appl. Math. Comput. Paul A. Glendinning, David J. W. Simpson
2022	J	`jnl`	Renormalization of the Two-Dimensional Border-Collision Normal Form. Int. J. Bifurc. Chaos Indranil Ghosh, David J. W. Simpson
2020	J	`jnl`	Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps. Int. J. Bifurc. Chaos David J. W. Simpson
2019	J	`jnl`	Characterisation and classification of signatures of spanning trees of the n-cube. Australas. J Comb. Howida A. Al Fran, David J. W. Simpson, Christopher P. Tuffley
2018	J	`jnl`	Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces. Int. J. Bifurc. Chaos Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson
2017	J	`jnl`	Grazing-Sliding Bifurcations Creating Infinitely Many Attractors. Int. J. Bifurc. Chaos David J. W. Simpson
2017	J	`jnl`	Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps. Int. J. Bifurc. Chaos David J. W. Simpson, Christopher P. Tuffley
2016	J	`jnl`	Border-Collision Bifurcations in ℝ SIAM Rev. David J. W. Simpson
2015	J	`jnl`	Stochastic Perturbations of Periodic Orbits with Sliding. J. Nonlinear Sci. David J. W. Simpson, Rachel Kuske
2015	J	`jnl`	Taxonomic and functional metagenomic analysis of anodic communities in two pilot-scale microbial fuel cells treating different industrial wastewaters. J. Integr. Bioinform. Larisa Kiseleva, Sofya K. Garushyants, Hongwu Ma, David J. W. Simpson, Viatcheslav Fedorovich, Michael F. Cohen, Igor Goryanin
2014	J	`jnl`	On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations. Appl. Math. Lett. David J. W. Simpson
2014	J	`jnl`	Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form. Int. J. Bifurc. Chaos David J. W. Simpson
2014	J	`jnl`	Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form. Int. J. Bifurc. Chaos David J. W. Simpson
2013	J	`jnl`	Stochastic Regular Grazing Bifurcations. SIAM J. Appl. Dyn. Syst. David J. W. Simpson, Stephen John Hogan, Rachel Kuske
2012	J	`jnl`	Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control. J. Nonlinear Sci. David J. W. Simpson, Rachel Kuske, Yue-Xian Li
2008	J	`jnl`	Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps. SIAM J. Appl. Dyn. Syst. David J. W. Simpson, James D. Meiss