David J. W. Simpson

According to our database, David J. W. Simpson authored at least 23 papers between 2008 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

A Piecewise-Linear Fixed Point Theorem.

David J. W. Simpson

Am. Math. Mon., August, 2025

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., February, 2025

Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems.

Hong Tang, Alan R. Champneys, David J. W. Simpson

SIAM J. Appl. Dyn. Syst., 2025

The Two-Dimensional Border-Collision Normal Form with a Zero Determinant.

David J. W. Simpson

SIAM J. Appl. Dyn. Syst., 2025

2024

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

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, June, 2023

Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps.

Paul A. Glendinning, David J. W. Simpson

SIAM J. Appl. Math., April, 2023

2022

Renormalization of the Two-Dimensional Border-Collision Normal Form.

Indranil Ghosh, David J. W. Simpson

Int. J. Bifurc. Chaos, 2022

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

2020

Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps.

David J. W. Simpson

Int. J. Bifurc. Chaos, 2020

2019

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

2018

Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces.

Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson

Int. J. Bifurc. Chaos, 2018

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

Grazing-Sliding Bifurcations Creating Infinitely Many Attractors.

David J. W. Simpson

Int. J. Bifurc. Chaos, 2017

2016

Border-Collision Bifurcations in ℝ^N.

David J. W. Simpson

SIAM Rev., 2016

2015

Stochastic Perturbations of Periodic Orbits with Sliding.

David J. W. Simpson, Rachel Kuske

J. Nonlinear Sci., 2015

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

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

Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form.

David J. W. Simpson

Int. J. Bifurc. Chaos, 2014

On the relative coexistence of fixed points and period-two solutions near border-collision bifurcations.

David J. W. Simpson

Appl. Math. Lett., 2014

2013

Stochastic Regular Grazing Bifurcations.

David J. W. Simpson, Stephen John Hogan, Rachel Kuske

SIAM J. Appl. Dyn. Syst., 2013

2012

Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control.

David J. W. Simpson, Rachel Kuske, Yue-Xian Li

J. Nonlinear Sci., 2012

2008

Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps.

David J. W. Simpson, James D. Meiss

SIAM J. Appl. Dyn. Syst., 2008